Geometry

Question Analysis

This question focuses on using the property of angle bisectors in a triangle to find the distance from a point (where angle bisectors meet) to a side, testing knowledge of the incenter - related property of equidistance from sides.

 

Key Concept Explanation

The point where the angle bisectors of a triangle meet (incenter - related concept here) is equidistant from the sides of the triangle. That is, if  is the intersection point of angle bisectors  and , the perpendicular distances from  to each side of the triangle are equal.

 

Step - by - Step Solution

1. We know that  is the perpendicular distance from  to side , and its length is .

2. By the property that the point of intersection of angle bisectors is equidistant from the sides of the triangle, the distance from  to side  will be the same as the distance from  to side .

3. So the distance from  to side  is