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Question
In triangle ABC; M is mid-point of AB, N is mid-point of AC and D is any point in base BC. Use the intercept Theorem to show that MN bisects AD.
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Solution
The figure is shown below
Since M and N are the mid-point of AB and AC, MN || BC
According to intercept theorem Since MN || BC and AM = BM,
Therefore AX = DX. Hence proved
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