In a triangle ABC, perpendicualr distance of BC from the point of intersection of angle bisector of `angleB` and `angleC` is……………..

Explanation

To find the perpendicular distance of side BC from the point of intersection of the angle bisectors of angles B and C in triangle ABC, we can follow these steps:

### Step 1: Understand the Geometry
In triangle ABC, let D be the point where the angle bisectors of angles B and C intersect. The perpendicular distance from point D to side BC will be denoted as PD.

### Step 2: Use the Angle Bisector Theorem
According to the angle bisector theorem, the angle bisector divides the opposite side into segments that are proportional to the adjacent sides. Thus, we can denote:
- Let \( AB = c \)
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