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Using Theorem 6.1, prove that a line dr...

Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).

Text Solution

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Let P be the mid point of AB
=`(AP)/(PB)=1/1`
Draw a line PQ||BC
=`(AQ)/(QC)=(AP)/(PB)`
=`(AQ)/(QC)=1/1`
AQ=QC
PQ line bisects the side AC
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