Question

Analyze the diagram below and complete the instructions that follow.

2004-04-01-02-00_files/i0130000.jpg

Find the unknown side length, x. Write your answer in simplest radical form.

Answer 1

notice how the left shape has its left and right sides marked as equal. therefore, this side is also equal to 6

Answer 2

now, on the right side you have a right triangle with legs 6 and 3, and hypotenuse x

setting up the pythagorean theorem:

3^2 + 6^2 = x^2, solve for x (as the problem states, leave it in radial form rather than converting to decimal)