Question

for the following right triangle, find the side length x. round your answer to the nearest hundredth.

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse. Here, $c = 25$ and one leg $a = 20$, and we want to find the other leg $x$. So, $x^{2}+20^{2}=25^{2}$.

Step2: Rearrange the formula to solve for $x$

$x^{2}=25^{2}-20^{2}$. Then $x^{2}=625 - 400=225$.

Step3: Take the square root of both sides

$x=\sqrt{225}=15$

Answer:

$15$