Question

Analyze the diagram below and complete the instructions that

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

Answer 1

The shape is a square and a triangle, so all sides of the square are equal to 6, and applying the Pythagorean law to a right-angled triangle, we can find the value of x

Then

`{x}^(2) = {6}^(2) + {3 }^(2) \\ {x}^(2) = 36 + 9 \\ {x}^(2) = 45 \\ x = 3 √(5)`