Question

show that the difference of any two side of a triangle is less than the third side.

Answer 1

Let ABC be a triangle having sides AB, BC and CA.

We know that the sum of any two sides of a triangle is greater than the third side.

∴ AB + BC > CA

⇒AB > CA – BC

This shows that difference of two sides is less than the third side of the triangle. 

Similarly, we can  prove it for other sides as well.

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