Q7 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).
Let PQ is a line passing through the midpoint of line AB and parallel to line BC intersecting line AC at point Q.
i.e. and .
Using basic proportionality theorem, we have
Q is the midpoint of AC.
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