Provide an appropriate response.Let ABC be an isosceles triangle with ?B ? ?C. Suppose that M is a point on BC such that  is perpendicular to . Prove that M is the midpoint of .

What will be an ideal response?


Answers will vary. A sample correct response would be as follows.



AB = AC and clearly AM = AM. By AAS, ?AMB ? ?AMC, and so MB = MC, i.e. M is the midpoint of BC.

Mathematics

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