Question

Prove that if a line segment joining mid-point of any two side of a triangle is parallel to the third side
and half of it.
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Answer 1

Answer:

The line segment joining the mid-points of two sides of a triangle is parallel to the third side. You can prove this theorem using the following clue: Observe the figure in which E and F are mid-points of AB and AC respectively and CD || BA. So, EF = DF and BE = AE = DC.