Question

for the following right triangle, find the side length x. 20 21

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 20 \), \( b = 21 \), \( c = x \). So \( x^2 = 20^2 + 21^2 \).

Step2: Calculate squares

\( 20^2 = 400 \), \( 21^2 = 441 \). Then \( x^2 = 400 + 441 = 841 \).

Step3: Take square root

\( x = \sqrt{841} = 29 \).

Answer:

29