Geometry

Question Analysis

The main focus is to apply the Secant - Tangent Rule. We know the lengths of two segments related to the secant line  and the tangent line , and we need to find the length of  by using the relevant formula.

 

Key Concept Explanation

Secant - Tangent Rule: If a secant line  and a tangent line  are drawn from an external point  to a circle, then .

 

Step - by - Step Solution

Set up the equation using the rule: Let the length of  be x. Then , and . According to the Secant - Tangent Rule, 

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