Geometry

Question Analysis

The main focus is to apply the Secant - Secant Rule. We know the lengths of three segments of the secant lines and , and we need to find the length of the fourth segment by using the relevant formula.

 

Key Concept Explanation

Secant - Secant Rule: If two secant lines are drawn from an external point to a circle, intersecting the circle at points and respectively, then . In this case, if two secant lines are drawn to a circle from an external point , then .

 

Step - by - Step Solution

1. Set up the equation using the rule:

Let the length of be , and , then .

We know that ,

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