Chapter A.2, Problem 11AYU

To determine

To find: The hypotenuse.

Answer to Problem 11AYU

13

Explanation of Solution

Given:

$a=5, b=12$

Calculation:

Since the triangle is a right triangle, use the Pythagorean Theorem with $a=5$ and $b=12$ to find the length $c$ of the hypotenuse.

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

$c^2=5^2+{12}^2$

$c^2=25+144=169$

$c=\sqrt{169}=13$

Therefore hypotenuse is 13.