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Prove that the line joining the mid-poin...

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

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Given: `DeltaABC` in which D is the mid-point of AB and E is the mid-point of AC.
Prove: DE||BC
Proof: Since D and E are mid-points of AB and AC respectively.
AD=DB and AE =EC
` Rightarrow ( AD)/(DB)=1 and (AE)/(EC) = 1`
`(AD)/(DB) = (AE)/(EC)`
Hence, by converse of basic proportionality theorem was have , DE||BC . Hence proved.
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