Question

one side of a triangle is half of the longer side and the third is two third ​

Answer 1

Step-by-step explanation:

•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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