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