Question

a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the external segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?

Answer 1

Answer:

Correct option: (3) 45

Step-by-step explanation:

Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.

If we have a secant and a tangent to a circle, we can use the following property:

T^2 = E * (A + E)

If the tangent is 14 inches and the external segment is 4 inches, we have that:

14^2 = 4 * (A + 4)

196 = 4A + 16

4A = 180

A = 45

Correct option: (3)