Proof of BPT theorem
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If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.
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If P and Q are the mid-points of AB and AC, then PQ || BC. ... Also, the converse of mid-point theorem is also true which states that the line drawn through the mid-point of a side of a triangle which is parallel to another side, bisects the third side of the triangle. Hence, the basic proportionality theorem is proved.
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