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. So, the lengths of the tangent segments  and  are equal. This property enables 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