Question

analyze the diagram below and complete the instructions that follow. find the unknown side length, x. write your answer in simplest radical form. a. $\sqrt{2047}$ b. 60 c. $5\sqrt{169}$ d. 65

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(a = 33\), \(b = 56\), and \(c = x\). So \(x^2 = 33^2 + 56^2\).
\(33^2=1089\), \(56^2 = 3136\), then \(x^2=1089 + 3136=4225\).

Step2: Solve for x

Take the square root of \(4225\), \(\sqrt{4225}=65\).

Answer:

D. 65