Question

Chords and Secants
Solve for x. Assume that lines which appear tangent are tangent.

Answer 1

x = 15

Explanation:

Given a tangent and a secant to a circle from the same external point.

Then the square of the tangent is equal to the product of the external part and the entire secant, that is

x² = 9(9 + 16) = 9 × 25 = 225 ( take the square root of both sides )

x =
`√(225)` = 15