Question

Question was provided via image upload.

Explanation:

Step1: Identify triangle type

It's a right triangle, so use Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(c = 25\), \(a = 7\), find \(b\).

Step2: Rearrange formula

\(b = \sqrt{c^2 - a^2}\)

Step3: Substitute values

\(b = \sqrt{25^2 - 7^2} = \sqrt{625 - 49} = \sqrt{576}\)

Step4: Calculate square root

\(\sqrt{576} = 24\)

Answer:

24