Question

The sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side. True or false?

Answer 1

True

Answer 2

and could you please give a reason? im trying to learn why.

Answer 3

Its really easy, take something in real life and try to make a triangle with the lengths 5, 6, and 1, it's impossible because eithe one of three things happens

Eithther 6 is the longest side in the triangle, therefore opposite to the biggest angle and this unknown length has to be shorter than the 6 which makes its 6-5> or greater than 1

This unknown side is also 6 making it isocoleceles and so it haas to be long enough and two of the angles are the same

This unknow side is longer than 6 or 5 therefore needs to make the biggest angle with 6 and 5