Geometry

Question Analysis

The main focus is using the property that tangents drawn from an external point to a circle are equal in length. Here, since  and  are tangent to  from point , we can set up an equation to find the value of .

 

Key Concept Explanation

Tangents drawn from an external point to a circle are congruent. In this case, the lengths of the two tangent segments  and  are equal. This property allows us to equate the expressions for their lengths and solve for the unknown variable .

 

Step - by - Step Solution

1. Set the lengths of the tangent segments equal to each other:

Since , we have the equation