Question

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

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: Find square root

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

Answer:

29