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.

Answer 1

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