Question

Find the length of the hypotenuse in this right triangle.

Answer 1

13

Explanation:

This is a special right triangle with side lengths 5-12-13 respectively.

If we can't remember the lengths we can use the following formula to calculate the lentgh of hypotenuse:

`{a}^(2) + {b}^(2) = {c}^(2)`

the sum of square measure of both legs is equal to the square measure of hypotenuse

`{5}^(2) + {12}^(2) = {c}^(2)`

25 + 144 = c^2

169 = c^2 find the root of both sides

13 = c, hypotenuse.