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, $a = 8$, $b = 15$, and $x$ is the hypotenuse. So, $x^{2}=8^{2}+15^{2}$.

Step2: Calculate squares

$8^{2}=64$ and $15^{2}=225$. Then $x^{2}=64 + 225$.

Step3: Sum the values

$x^{2}=289$.

Step4: Find the square - root

$x=\sqrt{289}=17$.

Answer:

17