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Draw three triangles of different measures. Measure the side of each of the triangle and verifythe triangle inequality property for these triangles. |
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Answer» Let ABC be a triangle, We can extend BA PAST A into a straight line, Then there is a point D such that DA=CA Therefore, from ISOSCELES triangle has two EQUAL angles, ∠ADC=∠ACD Thus, in △DCB, ∠BCD>∠BDC (Side opposite greater angle is larger) Thus, BD>CD BA+AD>CD (SINCE, AC=AD) BA+AC>CD The sum of any two sides of the triangle is greater than the third side. |
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