Question

The figure consists of a tangent and a secant to the circle. Solve for x.

A. 9.2
B. 7.7
C. 14.3
D. 85

Answer 1

By the tangent-secant theorem:

x² = 5(5+12) = 5 * 17 = 85
x = √85 ≈ 9.2

Answer 2

9.2

Explanation:

We are given that a figure in which a tangent and a secant to the circle.

We have to find the value of x.

Length of tangent segment=x

Length of secant segment=12 +5=17 units

Length of external segment=5 units

We know that secant-tangent theorem

It states that product of length of secant segment and its external segment is equal to square of length of tangent segment.

`x^2=17* 5=85`

`x=√(85)=9.2 units`

Hence, the value of x=9.2