Star and prove midpoint theorem?
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Answer:
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,
AD/DB = AE/EE ( each equal to 1 )
Therefore, by the converse of thales theorem, DE∥BC.
l hope this helps you....
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