Question

The segments in each figure are tangent to the circle at the points shown. Find each length. ​

Answer 1

Explanation:

Tangents from a common point are equal.

In other words AC = AB

AC = 8x

AB = 2x^2

2x^2 = 8x Divide both sides by 2x

2x^2/2x = 8x / 2x Divide

x = 4

AC = 8x

AC = 8*4

AC = 32

AB = 2x^2

AB = 2 (4)^2

AB = 2*16

AB = 32