Question

for the following right triangle, find the side length x.

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse and $a$ and $b$ are the legs. Here, $a = 20$, $b = 21$, and $x$ is the hypotenuse. So $x^{2}=20^{2}+21^{2}$.

Step2: Calculate squares

$20^{2}=400$ and $21^{2}=441$. Then $x^{2}=400 + 441=841$.

Step3: Find square - root

$x=\sqrt{841}=29$.

Answer:

29