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. Here $a = 20$, $b = 21$, and $x$ is the hypotenuse. So $x^{2}=20^{2}+21^{2}$.

Step2: Calculate squares

$20^{2}=20\times20 = 400$ and $21^{2}=21\times21=441$. Then $x^{2}=400 + 441$.

Step3: Sum the values

$x^{2}=841$.

Step4: Find the square - root

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

Answer:

$29$