Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 15 \), \( b = 20 \), and \( c = x \). So \( x^2 = 15^2 + 20^2 \).

Step2: Calculate the squares

\( 15^2 = 225 \), \( 20^2 = 400 \). Then \( x^2 = 225 + 400 = 625 \).

Step3: Take square root

\( x = \sqrt{625} = 25 \).

Answer:

25