Question

What is the value of x to the nearest tenth?

4.7

3.3

8.0

9.5

Answer 1

4.7

Explanation:

The segment marked x connects the midpoints of the chord and the diameter, so is the unknown leg of a right triangle with hypotenuse 16/2=8 and leg 6.5.

The Pythagorean theorem tells you ...

x² + 6.5² = 8²

x = √(64 -42.25) ≈ 4.664 ≈ 4.7