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 \( a = 40 \), \( b = 9 \), \( c = x \). So \( x^2 = 40^2 + 9^2 \).

Step2: Calculate squares

\( 40^2 = 1600 \), \( 9^2 = 81 \). Then \( x^2 = 1600 + 81 = 1681 \).

Step3: Take square root

\( x = \sqrt{1681} = 41 \).

Answer:

41