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Mid point theorem derivation

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Mid point theorem derivation

Posted by Sweta Yadav 3 years, 11 months ago

CBSE > Class 09 > Mathematics

1 answers

Punit Yadav 3 years, 11 months ago

Mid point Theorem : The line segment joining the mid points of any two sides of a triangle is parallel to the third side. Given : A △ABC in which D and E are the mid points of AB and AC, respectively. To prove : DE∥BC. Proof : Since D and E are the mid points of AB and AC, respectively, we have AD=DB and AE=EC. Therefore, DBAD=ECAE ( each equal to 1 ) Therefore, by the converse of thales theorem, DE∥BC.

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CBSE > Class 09 > Mathematics