Using Theorem 6.2, prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side. (Recall that you have done it in class IX).

Explanation

To prove that the line joining the midpoints of any two sides of a triangle is parallel to the third side using Theorem 6.2, we can follow these steps:

### Step-by-Step Solution:

1. **Consider a Triangle**: Let triangle ABC be given, where we have points D and E as the midpoints of sides AB and AC, respectively.

2. **Identify Midpoints**: Since D is the midpoint of AB, we have:
\[
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