Chapter 6.3, Problem 23E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In the figure for Exercises 21 to 24,*
*is tangent to the circle at S. See Theorem 6.3.7.*

*Given:*

*Find: RS.*

*(HINT: Use the Quadratic Formula.)*

To determine

**To find:**

To find *RS*.

Explanation

Given that,

The diagrammatic representation is given below,

**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.

By using the theorem 6.3.7 to get the following,

We know that

Substitute the values

To solve the above quadratic equation to get the following,

Substitute the values of

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