Chapter A.2, Problem 13AYU

To determine

To find: The hypotenuse.

Answer to Problem 13AYU

26

Explanation of Solution

Given:

$a=10, b=24$

Calculation:

Since the triangle is a right triangle, use the Pythagorean Theorem with $a=10$ and $b=24$ to find the length $c$ of the hypotenuse.

$c^2=a^2+b^2$

$c^2={10}^2+{24}^2$

$c^2=100+576=676$

$c=\sqrt{676}=26$

Therefore hypotenuse is 26.