How to find hypotenuse of right triangle. Problem 43560. Calculate the hypotenuse of a right triangle without using ^ and sqrt ()

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3 Ways to Find the Length of the Hypotenuse - wikiHow.Find the hypotenuse - MATLAB Cody - MATLAB Central

  I can still hear the question in high school: what is the hypotenuse of a right triangle? I drew a line here from edge to edge to define my horizontal axis, as well as the hypotenuse of my base. The exhibit is articulated around a series of themes: Sacred Numbers, the Fibonacci Sequence, the Hypotenuse , Squaring the Circle and Le Reverse the elements of an array.  

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By using our site, you agree to our cookie policy. Cookie Settings. wikiHow is where trusted research and expert knowledge come together. Learn why people trust wikiHow. Categories Education and Communications Studying Mathematics Geometry Coordinate Geometry How to Find the Length of the Hypotenuse. Download Article Explore this Article methods. Related Articles.

Article Summary. Co-authored by Grace Imson, MA Last Updated: August 22, References Approved. Method 1. Learn the Pythagorean Theorem. The Pythagorean Theorem describes the relationship between the sides of a right triangle. Make sure that your triangle is a right triangle. The Pythagorean Theorem only works on right triangles, and by definition only right triangles can have a hypotenuse.

If your triangle contains one angle that is exactly 90 degrees, it is a right triangle and you can proceed. Right angles are often notated in textbooks and on tests with a small square in the corner of the angle. This special mark means "90 degrees. Assign variables a, b, and c to the sides of your triangle. The variable "c" will always be assigned to the hypotenuse, or longest side. Choose one of the other sides to be a, and call the other side b it doesn't matter which is which; the math will turn out the same.

Find the squares of a and b. Find the squares of both a and b, and write them into your formula. Add together the values of a 2 and b 2. Enter this into your equation, and this will give you the value for c 2. There is only one step left to go, and you will have that hypotenuse solved! Find the square root of c 2. Use the square root function on your calculator or your memory of the multiplication table to find the square root of c 2.

The answer is the length of your hypotenuse! Method 2. Learn to recognize Pythagorean Triple Triangles. The side lengths of a Pythagorean triple are integers that fit the Pythagorean Theorem.

These special triangles appear frequently in geometry text books and on standardized tests like the SAT and the GRE. If you memorize the first 2 Pythagorean triples, in particular, you can save yourself a lot of time on these tests because you can immediately know the hypotenuse of one of these triangles just by looking at the side lengths! When you see a right triangle with legs of length 3 and 4, you can instantly be certain that the hypotenuse will be 5 without having to do any calculations.

The ratio of a Pythagorean triple holds true even when the sides are multiplied by another number. The same holds true for , and even 1. Try the math and see for yourself! If we substitute it into the formula, we get:. The Pythagorean Theorem helps us calculate the hypotenuse of a right triangle if we know the sides of the triangle. There are more advanced trigonometric functions that allow us to calculate the third side of a triangle, even non-right triangles, given a particular degree angle and side length.

But either way, practice applying the Pythagorean Theorem until you feel confident with right triangles. Then, you can learn how to find the third side of any triangle. To use the site, please enable JavaScript in your browser and reload the page. Enable contrast version. TutorMe Blog.

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