Proving Midpoint of Triangle Sides is Parallel and 1/2 Length

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how do you prove that the line segment joing the midpoint of two sides of a triangle is parallel to and 1/2 the length of the 3rd side?
 
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I think Basic proportionality theorem is proved before midpoint theorem. Basic proportionality theorem states that if in TrABC, BC||DE, then D and E divides AC and AB in the ratio, same as that of BC:DE.
 
The midpoint theorem is a direct conxequence of Baisproportionality theorem.