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, $a = 10$, $b = 24$, and $x$ is the hypotenuse. So $x^{2}=10^{2}+24^{2}$.

Step2: Calculate the squares

$10^{2}=100$ and $24^{2}=576$. Then $x^{2}=100 + 576$.

Step3: Add the values

$100+576 = 676$. So $x^{2}=676$.

Step4: Find the square - root

$x=\sqrt{676}=26$.

Answer:

26