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 \(a = 10\), \(b = 24\), \(c = x\). So \(x^2 = 10^2 + 24^2\).

Step2: Calculate squares

\(10^2 = 100\), \(24^2 = 576\). Then \(x^2 = 100 + 576 = 676\).

Step3: Take square root

\(x = \sqrt{676} = 26\).

Answer:

26