Question

Draw three triangles of different measures. Measure the side of each of the triangle and verify
the triangle inequality property for these triangles.
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Answer 1

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.

Answer 2

Answer:

Draw three triangles of different measures. Measure the side of each of the triangle and verify

the triangle inequality property for these triangles.