{Please don't provide any weblink or certified answer... I want only experts answer} ALSO PLEASE DON'T SAY THAT THIS IS OF MY GRADE ... QUESTION:-
Solve by providing solution for the following:-
- Statement 1: The difference between the lengths of any two sides of a triangle is less than the length of the third side.
Experts, I am not saying the below statement 2 ,,, I just want the proof for the statement 1. So, don't confuse while giving the proof. Also, I already know that proof for the statement 2.
- Statement 2: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Hi,
Also we can prove using statement 2:
Also we can prove using statement 2:
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.