The radius of the circle touching two sides AB and AC of a triangle ABC and having its center on BC is equal to………………..

Explanation

To find the radius of the circle that touches two sides \( AB \) and \( AC \) of triangle \( ABC \) and has its center on side \( BC \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**: We need to find the radius \( R \) of a circle that touches the sides \( AB \) and \( AC \) of triangle \( ABC \) and has its center on side \( BC \).

2. **Label the Triangle**: Let \( A \) be the vertex opposite side \( BC \), \( B \) be the vertex opposite side \( AC \), and \( C \) be the vertex opposite side \( AB \). Let the lengths of sides \( BC \), \( AC \), and \( AB \) be \( a \), \( b \), and \( c \) respectively.

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