Question

In the diagram, segments AD and AB are tangent to circle C. Solve for x.

A)
x = 3


B)
x = 9


C)
x = 13



D)
x = 3; x = -3

Answer 1

3

Explanation:

1. according to the condition ΔACD=ΔACB, then AB=AD.

2. if to re-write AB=AD, then 11=x²+2, ⇒ x=3;-3.

3. the value of the length can not be smaller than '0', then x=3.

the answer A) x=3