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

Step2: Calculate squares

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

Step3: Take square root

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

Answer:

41