Question

which of the following is closest to the value of x?

Answer 1

Hello, the closest to x is 6

Answer 2

By the Pythagorean theorem:

AC = √(AB²-BC²) = √(9²-4²) = √(81-16) = √65 ≈ 8
CD = √(BD²-BC²) = √(5²-4²) = √(25-16) = √9 = 3
x = AC - CD = 8 - 3 = 5

Answer: 5