using analytical geometry, prove that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

Asked by ponmani | 2nd Mar, 2011, 01:18: PM

Expert Answer:

Dear Student,

The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side.


P, Q are the mid-points of the sides AB, and AC of

To Prove Midpoint Theorem:

 (i) PQ || BC


Draw CR || BA to meet PQ produced at R.


Hence Proved



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Answered by  | 2nd Mar, 2011, 11:07: PM

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