Hi:) for triangle inequalities , the sum of two sides of a triangle has to be greater than the third side.

is the third side always the longest ?

NO

Step-by-step explanation:

Note :

Consider a triangle with sides‘s length a , b and c

triangle inequalities state that we must have c - a < b < c + a

now , is the third side always the longest ?

the answer is NO: (let’s take a counter example )

in a triangle with 2 sides‘s length 3 , 4

the third side could measure 2

because 4-3 < 2 < 4+3