`A D` is a median of ` Delta A B C` . The bisector of `/_A D B` and `/_A D C` meet AB and AC in E and F respectively. Prove that EF||BC

Explanation

To prove that line segment EF is parallel to line segment BC in triangle ABC, we will use the properties of angle bisectors and the concept of proportionality in triangles.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- AD is the median of triangle ABC, meaning D is the midpoint of BC.
- DE is the bisector of angle ADB.
- DF is the bisector of angle ADC.
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