prove that the line segment joining the mid-points of two sides of a triangle is parallel to the third side.
Text Solution
AI Generated Solution
To prove that the line segment joining the midpoints of two sides of a triangle is parallel to the third side, we will follow these steps:
### Step-by-Step Solution:
1. **Draw Triangle and Identify Midpoints**:
Let triangle ABC be given. Identify the midpoints D and E of sides AC and AB respectively.
2. **Construct a Parallel Line**:
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