Geometry

Question Analysis

The main focus is to utilize the Secant - Secant Rule to determine the length of . Given the lengths of certain segments of the secant lines from an external point to the circle, we must apply the appropriate formula to find the unknown length.

 

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 from an external point to a circle, then .

 

Step - by - Step Solution

1. Establish the equation using the rule:

Let the length of be . Here, , , and

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