Finding the Best Online Tutoring For Math

Finding the Best Online Tutoring For MathYou can find some very good online tutoring for math when you go online to search. When it comes to finding the best online tutoring for math, you need to know the ways to go about it. In order to learn how to do this you will need to have a good idea of what you want and need and how you are going to get it.There are many options that you can choose from when it comes to the best online tutoring for math that you can find. One thing that you want to consider is that there is no one right way to do it. Many different ways exist but only a few are most popular.One good option that you can look into is to find some free online math lessons online that will give you an idea of what to expect as far as teaching and the other aspects of learning online. You should not try to use this option alone because you might get lost or frustrated with the idea of learning something on your own. This is a great way to get some good knowledge that you can use in the future.Another option is to go to a college that offers free online math lesson that you can use. This is an excellent option because it will let you spend more time doing the work instead of sitting at your computer trying to figure out how to do it. This is another great way to find out what the best online tutoring for math is and you will want to have this option available to you.If you go to a place like a college that offers a free online math lesson then you should be able to find other options online as well. There are several options that you can look into to get all the information that you need to know in order to choose the best option.One option that you may want to consider when it comes to finding out about the best online math lesson is to go to a library or bookstore. This is an option that is not very popular but you should consider it because there are some great ideas that you can learn about. Reading books and reading ideas can give you an idea of what it means to make a decision about what you want to do in life.The most important part of finding out about the best online math lesson is that you are able to find out about it when you are ready. You should only take action when you feel ready. When you feel ready, you will be able to move forward and make the choice about what the best online tutoring for math is for you.

Learn to Draw for a Career as an Artist

Learn to Draw for a Career as an Artist What Job Could You Land if You Learn to Draw? ChaptersHaving a Wacom, Will EarnBecome an Art TeacherLearning to Draw ArchitectureA Career in Digital DrawingLearning How to Draw CaricaturesDrawing for Comic BooksFor you, the world is full of shapes and colours that scream to be captured by pencil and paper.Your fingers itch to oblige, filling a succession of sketch pads with still lifes, drawing animals and the human form. You don't know why you draw, but you know you have to.Google needs no sophisticated algorithm to return ads tailored to your searches: 'step by step drawing', 'drawing tutorials UK', 'draw manga'...Most likely, you are constantly plagued with pop-up adverts for Conté crayons, charcoal pencils and maybe even a free trial of Adobe software for graphic design.Taking drawing lessons to improve and refine your perspective drawing and shading techniques is the sure-fire way to guarantee yourself a career in line with your craving to be a professional artist.  The benefits of drawing lie not only in its therapeutic p roperties, allowing you to improve your concentration and enhance your motor skills. It can also provide a living.Tracing, coloring, blending and shading; erasing and starting all over again: for you, all of this is the very essence of your being. Let us give you step by step instructions on how can you avoid being a starving artist, earning handsomely while pouring your heart into your creations.The realm of the graphic designer is far-reaching, crossing over from long-standing professions such as architecture into the fun and whimsical, like cartooning and comic book illustration.Graphic design has found its way even into movie houses. CGI â€" computer generated imagery , animation and other special effects, born in the minds of those who know how to create brilliance from fancy,  explodes  from silver screens, everywhere around the world.If you are not fond of buying movie tickets, you can enjoy realistic design rendered by computers in newspapers, magazines and even supermarket adverts. Graduates of the best art schools specialize in  creation  from concept.Of course, artists who have not graduated from art school also excel at concept drawing. Graduate or not, maybe you are one of the legions who can flawlessly: Draw a catDraw a roseDraw animalsDraw a hand, an eye, the nose; the human figureDraw a tree,execute a still life, landscape drawing...In short: you excel at drawing and sketching everything. Fortunately, there are excellent schools in the UK where you can take your sense of creativity to the next level. Attending any of them will guarantee you artistic peers that embody such qualities as: Being curious and creative; artists constantly reinvent themselves as their drawing skills mature. Knowing how to draw, and knowing the significance of visual cues.Mastering software and the tools of graphic design.Being in tune with the industry.Being a good communicator â€" a part of being such an artist is being able to sell your designs.Obviously, successful graphic designers have multiple skills; they don't just sit around, drawing people.As an art teacher, you could help students learn blind contour drawing Source: Pixabay Credit: GeraltBecome an Art TeacherIt might be difficult to conceive of suspending your drawing and painting in order to teach others how to do it.Still: somebody has to teach burgeoning artists drawing techniques!Especially if you come to your drawing talent later in life, when it would be harder to break into the hot field of graphic design, teaching artistic hopefuls how to sketch could be an acceptable compromise between being earning a living and being an artist in your right.By no means are we making defamatory claims. As with every career path, it is usually younger talent that is ardently sought after.Especially if you have a talent for enthralling children, you could incite them to create a masterpiece out of their doodles and colored pencils. Imagine giving a demonstration on how to draw perspective. Your validation as an artist comes when your charges pick up their drawing tools, chattering vivaciously, and soon, you find yourself appraising their line drawings and lauding their efforts. All of this would come from your ability to: Teach a drawing courseWork with students of all ages; make them realise it is satisfying and fun to draw Communicate the intricacies of art, such as the play of light and shadowBe organizedIf you can see yourself delivering art instruction, rest assured that your students will develop their artistic sense, through the transmission of your passion.Introduction to watercolor, drawing in perspective, sketching portraits, reproduction of basic shapes, creation of cartoon characters, drawing in oil pastels, marker, charcoal pencils... The basics of drawing has so many aspects you could teach, not the least of which is other uses for your students' graphite pencils!house art: architects had a hand in their creation. Not only do they wield a mean graphite pencil (and eraser, for those inevitable, erroneous lines), but they must also excel at maths. Find out here how maths and art coincide. Architects work independently, or in a firm, with like-minded fellows. They may specialise in drawing plans for homes, civic buildings or monuments. Any architect must be adept at technical drawing, common practices of building construction and customer service â€" to manage building delays, material shortages and other logistical matters pertaining to construction. Here again, the UK stands out with more than a handful of excellent schools to learn this discipline. If you enjoy the clean lines of realistic drawing, any of these institutions may be your ticket to a satisfying career.More often, architectural firms are conceiving designs digitally Source: Pixabay Credit: JolEnkaA Career in Digital DrawingIf you like drawing cool things, cartoon people, chibi: this is the career field for you. The artists that draw cartoons vary wildly from graphic designe rs, whose milieu tends more toward advertising and video games. The two career fields are not mutually exclusive: plenty of cartoonists exercise their art digitally, and lots of graphic designers draw cartoons, just for fun.It may seem that work as a cartoonist (or animator) would be hard to come by. That is not necessarily the case. Think of Disney, Pixar, Dreamworks and Sony: the veritable explosion of animation â€" on the big screen and the small, insures that cartoonists and illustrators will be gainfully employed for the foreseeable future. As with most every other visual art medium, the focus is turning ever more sharply on drawing art digitally. Thus, the successful candidate in this field would have a firm grasp on 2- and 3 dimensional drawing software usage. S/he would have to be adept at gesture drawing, to create the illusion of movement, and be able to quickly outline simple shapes into a fully formed figure. The cartoon illustrator is equally at home with a sketchbook a nd blue pencil as with a stylus and software, and can rapidly render pen and ink drawing to complete a storyboard. The animation school graduate can not only look forward to working in films and television, but also might branch out into video game art.Of, if you have been bitten by the travel bug, you may set your sights on Japan, whose animation studios outrank even Great Britain's in term of themes, volume and production. Learning How to Draw CaricaturesHow is your sense of humour, these days? What about your sense of irony?With all of today's political upheaval, caricaturists are having a field day. Would you care to join them?The editorial cartoonist, as such artists are called, fill the gaps left in print to give readers a satirical view of the person, predicament or event being described in the news article.Publications such as The Daily Mash and The Inconsequential routinely look for fresh talent to fill their pages with the best in caricature of today's famous and infamous. Of all the forms of artistic expression today, including online art, political cartoons remain truest to their roots.They appear in the same format and type of publication as they did some two hundred and twenty years ago, when they first made their appearance in French newspapers, immediately after the Revolution.What does it take, besides a keen eye for the absurd, to be an editorial cartoonist?Obviously, you would have to be able to draw faces. Can you exaggerate the features? Perhaps draw big noses on people reputed to smell a rat?Or, if the story is about greedy grubber, you could draw hands shaped like claws, for digging ever more cash... No matter what you draw, your pencil strokes should reflect realism, but also maturity and assuredness: nothing underscores absurdity more effectively than a comically rational rendering. As you are unusually skilled at caricature, most likely you also know how to draw a cartoon.If that is the case, why not consider cartoon drawing as a care er?The line between cartoon and caricature is sometimes very fine Source: Pixabay Credit: IlipkindDrawing for Comic BooksHaven't you heard? Comic books coming to life is the very latest thing!X-Men, Transformers, Spider Man, Marvel Universe Live: all of these and more, that come to us in theatres and live performances, once were nothing more than so many sketches on a storyboard. Why should people be regaled only by the products of others' imagination?Maybe you have harboured your own fantastic characters, plot lines and adventures.  Perhaps you've even introduced them, during the course of your drawing courses London, or online  drawing lessons or in a drawing contest. Did you win any prizes?These days, with resources such as Desktop Publisher â€" or even online drawing, why not try your hand at finally getting your amazing adventure out of your head and onto a storyboard? If you know how to draw cartoons, nothing is stopping you from taking a booth at Comic Con and hosting drawing tutorials. What a great way to introduce your story lines, costumes and characters!Of course, we are making it sound very easy to break into this admittedly close-knit world. There are no special art classes you can take to master character design or how to draw the now-ubiquitous pikachu.Cartoonists, for the most part, tend to be self-taught.That just means that, contrary to their stereotype, these artists are a highly disciplined bunch, passionate of their art and ready to spend years gaining a foothold in this mythical universe.  But when art is your passion, you will find every reason to keep drawing.You, how have filled endless drawing books, who know how to draw people â€" and pretty much anything else; you, who have mastered the art of contour drawing and have no quandary about what to draw...Your skill with the pencil will open many doors to careers with their roots in art.Following your preferences, skills and â€" believe it or not, temperament, you will surely find a way to blend your professional life and your passion.We'll be waiting for your first edition!

20 Fun Songs to Sing at Your Next Karaoke Night (with Links!)

20 Fun Songs to Sing at Your Next Karaoke Night (with Links!) Sign up successful Practically every song by these guys is bound to be a hit, which can make it hard to choose! Stand out from the crowd (everyones heard Hey, Jude enough) with Twist and Shout, or a more dramatic song like Youve Got to Hide Your Love Away. 2. Elvis Presley â€" “Heartbreak Hotel” Breaking out your best Elvis impersonation is another great way to please the crowd! Classics like Heartbreak Hotel as well as Jailhouse Rock should get everyone singing along. 3. The Supremes â€" “Baby Love” Change up the beat of the night with the Supremes! This catchy tune works for a soloist or group. For more drama, try Aint No Mountain High Enough. 4. Billy Joel â€" “Piano Man” This is one of those songs that makes the room pause and listen and when you let yourself get into it, theyre sure to be singing with you on the last chorus. When they request that you do another Billy Joel song, whip out “Just the Way You Are”. 5. Janis Joplin â€" “Piece of My Heart” Take a deep breath and sing from your diaphragm for this one Piece of My Heart is a great song for baring your soul. For more deep, emotional amazing work by Joplin, try Me and Bobby McGee. 6. Melissa Etheridge â€" “Angels Would Fall” This slightly eerie anthem of admiration is a beautiful way to show off a lyric tenor or contralto range. Add some versatility by trying Etheridges other major hit “I’m the Only One”, or her version of Whats Going On. 7. Joan Jett â€" “Bad Reputation” Everyone loves rock and roll! No, seriously, everyone loves I Love Rock n Roll. Enjoy the punkier side of Jetts legacy with Bad Reputation, or slow it down with “Crimson and Clover”. 8. Alanis Morissette â€" “Hand in My Pocket” This optimistic alt-rock poem is a great mid-range piece, with complex lyrics (hey, thats why theres a screen) but an easy melody. If you like relationship songs, consider “Head Over Feet” (or, to vent about a very different relationship, try You Oughta Know). 9. Indigo Girls â€" “Galileo” The Indigo Girls are ideal for any female vocalists (or a female with a male singing down the octave) to show off those duet skills! The beautiful, contemplative Galileo is a spunky folk rock piece, or you could also try their slightly less ephemeral “Closer to Fine”. 10. Sublime â€" “What I Got This is one of those fun songs to sing that everyone requests by the bonfire in the middle of summer. This smooth, universally-lovable anthem of modern rock will give the whole bar a moment at peace together, as everyone agrees that lovin is, indeed, what theyve got. For another classic Sublime song, practice some Santeria. 11. Van Halen â€" “Jump” Come on and jump! This fun song is one of Van Halens best-known classics. You could also run with “Runnin’ With the Devil”, or be a little goofy with “Panama”. 12. Red Hot Chili Peppers â€" “Californication” Show off your funky taste with this somber song. Alternatively, work on your stage presence and sense of rhythm, without having to worry about melody, with the mostly spoken “Give It Away”. 13. Bon Jovi â€" “It’s My Life” Bon Jovi is one of the most requested artists for karaoke and covers, but people tend to stick with the same songs. Shake up the evening with Its My Life or “You Give Love a Bad Name”. 14. Pat Benatar â€" “Heartbreaker” Your rendition of this hot 80s hit will leave the crowd wanting more! Alternatively, you can tell them to “Hit Me with Your Best Shot”. 15. ABBA â€" “Dancing Queen” Take a chance on disco! Dancing Queen is another fun song to sing as a duet, and will definitely get the audience jamming. For a faster tempo and a bit less of a challenge, try “Mamma Mia”. 16. Kansas â€" “Carry On, Wayward Son” Therell be peace when you are done but in the meantime, therell be beautiful harmonies! This song is awesome for showing off your clean 80s rock vocals, or for gathering a group of friends to show off multiple parts together. Another great Kansas jam to try is “Dust in the Wind”. 17. Styx â€" “Come Sail Away” Bring the audience aboard that starship with your beautiful vocals! Come Sail Away is great for any vocalist, since its a great melody to alter by one octave. If this song is too familiar to you, be a little more of a Renegade and whip out Blue Collar Man (Long Nights), or celebrate that these are The Best of Times. 18. Queen â€" “Somebody to Love” The audience has probably been told We Will Rock You, but have they really been rocked? If Somebody to Love is a little too gospel for you, be sure your fans still know that “We Are the Champions”. 19. Village People â€" “YMCA” When your friends are clamoring for a group song together, this is the best go-to. If someone already did YMCA a few rounds earlier, try Macho Man! Its easy to find fun songs to sing in groups, like Don’t Stop Believin’, The Final Countdown, or Flashdance. 20. The Monkees â€" “I’m A Believer” Youre too busy singin to put anybody down! Whip out this sweet tune, or other cheerful love songs of the 60s, like Brown-Eyed Girl”. Remember to enjoy yourself, and drink plenty of water to stay hydrated. Want to take your vocal skills even further? Consider signing up for  private lessons to sharpen up your talent, and soon youll be too much of a star for the bar! Want even more song ideas?  Check out our list 400+ songs to sing here! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo  by Jess Cadorette

5 Ways to Trick Your Brain into Beating Procrastination

5 Ways to Trick Your Brain into Beating Procrastination Sign up successful 2) Start with something you know. It’s quite difficult to actually start working when there are so many more tantalizing things you could be doing! By reviewing material that you already know first, you’re easing your brain  and mindset into studying, and you’ll be less likely to procrastinate. Plus, you’ll give yourself a nice confidence boost! 3) Set a time limit. If you really want to watch TV or play a video game, then set some manageable time limits for yourself. Set a timer and commit to studying for 40 minutes non-stop, and then reward yourself with a 20-minute study break to do whatever you’d like to do. Using a timer will ensure that you stay productive and on task. 4) Break down your assignment into steps. Don’t think of the whole big picture for your assignment this can make it feel overwhelming. Instead, divert your attention to breaking down the assignment into manageable pieces. If you’re studying for a World History midterm, for example, study one culture (like the US) one day and another (Africa) on the next day. By breaking it down into smaller pieces, the challenge at hand will seem less scary, and you’ll be less likely to succumb to procrastination. 5) Plan a study schedule with a reward system. If you have trouble with beating procrastination, then reward yourself for each and every hour of work in which you stay on task. If you have a tangible reward waiting for you at the end, you will be more motivated to work harder and faster to earn your prize. If you don’t trust yourself to stick with the program, have a parent, tutor, or trusted friend dish out your reward. If someone else holds you accountable, this can also help you succeed. Implementing these five tips into your daily study routine will help you become more productive, successful, and procrastination-free in no time! Natalie S. tutors in English, ESL, History, Phonics, Reading, and Test Prep in San Diego, as well as through online lessons. She received her BA in English Education at the University of Delaware, and her MA in English Literature at San Diego State University. Learn more about Natalie here! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher Photo  by  mrehan

4 Lessons Recent Graduates Should Carry From College

4 Lessons Recent Graduates Should Carry From College The college experience is designed to prepare students for a fruitful career and/or continued, specialized study in graduate school. If you are a recent graduate this year, here are four lessons you may have learned while in college that can help you a great deal in the future: 1. You must demonstrate initiative In higher education, professors do not peer over your shoulder or verify your progress each day. Instead, they assign you a due date and provide you with general guidance. You must complete your assignments in a timely manner. The professional world functions similarly. While your supervisor is available to offer advice, the deliverable (i.e. a document, a presentation, or a suggested course of action) is yours to produce. Resourcefulnessand willingness to add value to projectsis key. Here is some more great information on whatcollege graduates should know. 2. Each task involves a grade This lesson, while not new to you, is important to remember in the professional world. You will be judged according to the work you produce. Like college, many projects will carry significant weight, and each task counts. Your performance will likely be assessed on an annual basis, rather than per semester. Many organizations assign you grades in multiple areas, such as independence, initiative, time management, and willingness to work with others. It is in your best interests to aim for an A, or its equivalent. 3. Collaborative skills are invaluable We have all weathered a group project. Certain individuals thrive, while others dread such assignments. The professional world revolves around collaboration, and learning to work well in a team is imperative for recent graduates.These are some great tips onhow to deal with group projectsthat can help you during and after college. In the business world, however, there is one primary difference: your role is defined. One team member typically functions as the project lead, while other co-workers fill specific specialties. If you do not complete your portion of the task, no one will do your work for you. No one will make excuses for you. And if you are most comfortable assuming leadership, you must likely adapt to taking direction from others. 4. Strike a balance between the personal and professional You live with, socialize with, work with, and in certain ways, compete with your classmates in college. At times, it can be difficult to be both respected and well-liked by your peers. You will face the same conundrum in the professional world. You will spend 40+ hours each week with your co-workers, and with luck, you will attend company parties, meals, and other social events. To be successful, you must be both well-liked and respected. Typically, the person who only arrives, completes his or her work quietly, and then leaves does not advance along the business ladder. However, the class clown of the office is just as unlikely to succeed, because he or she is not seen in a serious light. Here are some great tips on how to network as a recent college gradyou may find useful. You may discover that your balance initially tips toward the professional during your first years in the working world. Ultimately, learning how to manage the two impulses will help you advance, enjoy your colleagues, and lead a satisfying life. Best of luck to recent graduates in your future endeavors!

The Ultimate Guide To Background Checks - Introvert Whisperer

Introvert Whisperer / The Ultimate Guide To Background Checks - Introvert Whisperer The Ultimate Guide To Background Checks Job-hunting can be a nerve-wracking experience. Even if you’re ordinarily confident, you may find yourself second-guessing everything you say or do. “Was this the right tie to wear with this shirt?” “Did I sound enthusiastic enough when I answered that question?” “Was the recruiter’s name Terry or Jerry?” Preparation can help alleviate these anxieties. If you’re serious about a job search, you’ve probably already done a lot of prep work. But even if you’ve put in the work on your resume, cover letter and interview skills, you’re not fully prepared until you think about background checks. A majority of employers use background checks to learn more about job candidates, and if you’re not ready for what these reports might turn up, you could be caught off guard. There’s more to these investigations than checking for criminal records. Many job candidates are surprised to learn that companies can find information on their medical histories, driving records and/or credit scores. This is why it’s important to know as much as possible about background checks and what they might reveal about you. The accompanying guide contains a number of vital facts about background checks, what they might divulge and what you can do to prepare for or react to them. Don’t let unexpected problems make your job-hunting experience more stressful than it already is, so educate yourself about what these reports can reveal.

Scalene Triangle

Scalene Triangle Scalene Triangle As Geometry is the study of various shapes and their properties, we come across different types of figures and structures. Among them, triangles are one of the most commonly observed shapes. A triangle belongs to the polygon family of shapes and hence just like other polygons, it is also a 2-dimensional closed figure bounded by straight line sides. As the name suggests, tri-angle implies three angled. So a triangle is a figure which consists of 3 sides and hence 3 angles. We observe that triangles are classified into different types based on their sides measurement and their angles measurement. Based on triangles angles, we have 3 categories as shown below: a) Acute-angled triangle: A triangle in which all the 3 angles measure less than 90. b) Obtuse-angled triangle: A triangle which has one angle greater than 90, with other two angles less than 90. (Since the sum of all the 3 angles in any triangle must be equal to 180, hence there cannot be more than one obtuse angle in a triangle). c) Right-angled triangle: A triangle in which one of the angles is equal to 90. Based on triangles sides, we have 3 categories as shown below: a) Equilateral triangle: All the 3 sides of the triangle are equal to each other. In this triangle, all the 3 angles are also equal to each other. Each angle measure 60. b) Isosceles triangle: Any two sides of the triangle are equal to each other. Hence, the angles opposite to the equal sides are also equal. c) Scalene Triangle: A triangle in which all the 3 sides (and hence 3 angles) are not equal to each other. Definition of a Scalene Triangle:A Scalene triangle is a triangle in which all the 3 sides do not equal each other in measurement. As the sides are not congruent to each other, hence the 3 angles are also not equal to each other. In the figures below, we can see that the triangle consists of 3 unequal sides. Properties of a Scalene Triangle: 1) A scalene triangle has no two sides equal to each other. 2) A scalene triangle has all the 3 angles unequal to each other. 3) Sum of all the angles in any triangle = 180 4) A scalene triangle does not have any line of symmetry. Example: Given that two angles of a scalene triangle PQR are equal to 56 and 88 as shown in the figure on the right. What is the measure of the third angle of the triangle? Given that angle R = 56 and angle Q = 88 Sum of all the angles of a triangle = 180 Hence, angle P + angle Q + angle R = 180 So, angle P + 88 + 56 = 180 Angle P + 144 = 180 == angle P = 180 - 144 Therefore, angle P = 36 Example: If the angles of a scalene triangle are (2x+ 20), (x + 50) and (x + 10), then what is the measure of each angle of the triangle? Sum of all angles of a triangle = 180 Hence, 2x + 20 + x + 50 + x + 10 = 180 == 4x + 80 = 180 == 4x = 100 This gives: x = 100/4 == x = 25 Now the angles are 2x + 20 = 2*25 + 20 = 70 x + 50 = 25 + 50 = 75 and x+ 10 = 25 + 10 = 35 Therefore, the 3 angles are 70, 75 and 35. Triangle Inequality Theorem: The Triangle Inequality Theorem states that any side of a triangle is always shorter than the sum of the other two sides. This applies for every triangle, including the Scalene Triangle. If a, b and c are the side lengths of the three sides of a triangle, then according to the theorem: a b + c b c + a c a + b This theorem can be understood by looking at two cases: I. If one side is longer than the sum of the other two sides, then the other two sides will not meet each other to form a triangle, as shown in the figure below. II. If one side is equal to the sum of the other two sides, then a triangle is not formed. In fact, this happens when the three points are collinear (points which lie on the same line). Therefore for a triangle to be formed, the sum of any two sides of the triangle must always be greater than the third side! Example: Can a triangle be formed with the side lengths 12m, 18m and 22m? Let the side lengths be a = 12m, b = 18m and c = 22m. Now, 12 18 + 22. Hence a b + c 18 22 + 12. Hence b c + a 22 12 + 18. Hence c a + b Since the Triangle Inequality Theorem is satisfied, hence yes with the given side lengths we can form a triangle. Perimeter of a Scalene Triangle: Perimeter of any triangle is the sum of all the sides of the triangle. Therefore, to calculate the perimeter of a scalene triangle we have to simply add up all the side lengths of the given triangle. If the lengths of the sides of a scalene triangle are a, b and c: Then the Perimeter of the Scalene triangle = a + b + c Example: Calculate the perimeter of a scalene triangle whose side lengths are 12m, 16m and 17m. Perimeter of a Scalene triangle = Sum of all the side lengths of the triangle. Perimeter = 12m + 16m + 17m = 45m Therefore, perimeter of the given scalene triangle is 45m. Area of a Scalene triangle: Area of a triangle is the space occupied within the boundaries of a triangle. This area can be calculated by using the following methods: 1) Area Formula: If the base length of a triangle and the height (which is the perpendicular line drawn from the vertex to the opposite side) of a triangle are given, then we can find the area of a triangle. If the base of a triangle is b and height of the triangle is h, then: Area of a triangle = 1/2 * base * height == Area = 1/2 * b * h 2) Herons Formula: If the side lengths of a triangle are given, then the area of a triangle can be calculated using the Herons Formula. If a triangle has side lengths as a, b and c, then the semi-perimeter, s = (a + b+ c)/2 Then, Area of the triangle = [s* (s-a)* (s-b)* (s-c)] Example: Find the area of a triangle given side QR is 10m, and the perpendicular PN is 7.5m. Given the base QR = 10m Height is the perpendicular line drawn from the vertex to the opposite side of a triangle. Since PN is the perpendicular line from the vertex P to the opposite base side QR, hence height is PN = 7.5m. Area of a triangle = 1/2 * base * height = 1/2 * 10m * 7.5m = 37.5m2 Hence, Area of the given triangle is 37.5 square meters. Example: In triangle XYZ, side XY is 5m, side YZ is 8m and side XZ is 7m a shown in the figure on the right. Is XYZ a scalene triangle? What is the area of the triangle XYZ? Given the side lengths of triangle XYZ. Since the lengths of the sides are not equal to each other, hence XYZ is a scalene triangle. Let a = 5m, b= 7m and c = 8m. Then s = (a + b + c)/2 = (5 + 7 + 8)/2 = 10 Now according to Herons formula: Area of the triangle, A = [s* (s-a)* (s-b)* (s-c)] Hence, Area = [10* (10- 5)* (10- 7)* (10- 8)] = (10 * 5 * 3 * 2) = 300 = 17.3m2 (approximately) Therefore, the area of the triangle XYZ is 17.3 square meters.