Question

for the following right triangle, find the side length x. 15 20

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, $a = 15$, $b = 20$, and $x$ is the hypotenuse. So, $x^{2}=15^{2}+20^{2}$.

Step2: Calculate the squares

$15^{2}=15\times15 = 225$ and $20^{2}=20\times20=400$. Then $x^{2}=225 + 400$.

Step3: Add the results

$x^{2}=625$.

Step4: Solve for $x$

Take the square - root of both sides. Since $x$ represents the length of a side of a triangle, we take the positive square root. So, $x=\sqrt{625}=25$.

Answer:

25