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In a ∆ABC, M and N are points on the sides AB and AC respectively such that BM = CN. If ∠B = ∠C then show that MN || BC. |
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Answer» In ∆ABC, M and N are points on the sides AB and AC respectively such that BM = CN and if ∠B = ∠C. We know that, sides opposite to equal angles are equal. AB = AC BM = CN ( given) AB – BM = AC – CN => AM = An From ∆ABC AM/MB = AN/NC Therefore, MN ||BN |
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