Question

You are building a dog house and need a supporting block of wood for the roof. Your
boss went on a errand and took your measuring tape. Using the Pythagorean theorem
determine the length needed. If necessary, express your answer in its simplest radical
form.

Answer 1

Answer:

x = 8$\sqrt{3}$ in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 22² = 26²

x² + 484 = 676 ( subtract 484 from both sides )

x² = 192 ( take square root of both sides )

x = $\sqrt{192}$ = $\sqrt{64(3)}$ = $\sqrt{64}$ × $\sqrt{3}$ = 8$\sqrt{3}$ in