Geometry

Question Analysis

The key is using the fact that a tangent is perpendicular to the radius at the point of tangency. With  tangent to  at , . We'll apply the Pythagorean theorem to find the radius .

 

Key Concept Explanation

A tangent to a circle forms a right - angle with the radius at the contact point. In right - triangle , we can use the Pythagorean theorem () to relate the radius , tangent segment , and .

 

Step - by - Step Solution

1. In right - triangle

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