Chapter 6.3, Problem 48E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

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

If two secant segments are drawn to a circle from an external point, then the products of the length of each secant with the length of its external segment are equal. See Figure 6.51 on page 303.

To determine

**To find:**

To prove the following stated theorem,

“If two secant segments share the same endpoint outside a circle, then the product of the length of one secant segment and the length of its external segment equals the product of the length of the other secant segment and the length of its external segment.”

Explanation

Given that tangent

To prove

The diagrammatic representation is given below,

First, draw

Here

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