Question

Analyze the diagram below and complete the instructions that follow.

Find the value of x.
A. 18
B. 22
C. 24
D. 28

Answer 1

A

Explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 =
`√(2500)` = 50 ( subtract 32 from both sides )

x = 18 → A