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Converse of Basic Proportionality Theorem

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Theorem : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

In figure 1.18, line l interesects the side AB and side AC of D ABC in the points P and Q respectively and `(AP)/(PB)
= (AQ)/(QC)`, hence line l || seg BC.

This theorem can be proved by indirect method. 

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