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Using Theorem 6.2, prove that the line ...

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).

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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. **Identify the Triangle and Midpoints**: Let triangle ABC be given, where D is the midpoint of side AB and E is the midpoint of side AC. 2. **Use the Definition of Midpoints**: ...
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