# CBSE Class 10 Answered

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

Asked by Topperlearning User | 26 Jul, 2017, 01:40: PM

Expert Answer

** **In _{}ABC, D and E are mid points of AB and AC respectively

to prove DE II BC.

_{}

_{} as D is mid point of AB (1)

Similarly _{} (2)

Hence from (1) and (2)

_{} by converse of BPT

DE II BC. Hence proved.

Answered by | 26 Jul, 2017, 03:40: PM

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