Chapter 6.3, Problem 49E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Exercises 46 to 49, prove the stated theorem.*

If a tangent segment and a secant segment are drawn to a circle from an external point, then the square of the length of the tangent equals the product of the length of the secant with the length of its external segment. See Figure 6.52 on page 303.

To determine

**To find:**

To prove the following stated theorem,

“If a tangent segment and a secant segment are drawn to a circle from an external point, then the square of the length of the tangent equals the product of the length of the secant with the length of its external segment”.

Explanation

Given that tangent *A* and secant

To prove

The diagrammatic representation is given below,

Draw

Then,

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