Geometry

Question Analysis

The main task is to find the length of using the Secant - Secant Rule. We know the lengths of some segments of the secant lines from an external point to the circle, and we need to apply the relevant formula to determine the unknown length.

 

Key Concept Explanation

The Secant - Secant Rule states that if two secant lines are drawn from an external point to a circle, intersecting the circle at points and respectively, then . In this case, for the secant lines from point , we have .

 

Step - by - Step Solution

1. Set up the equation using the rule:

Let the length of be . Then , , and

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