Question

In triangle ABC if AB is the greatest side then prove that angle C>60degree.

Answer 1

In a triangle abc
AB>AC and AB>BC
according to inequality theorem angles opposite to equal sides are equal and angle opposite to longest side will be largest and vice versa
hence angle C>angle B and angle C>angle A
since in a triangle sum of all angles=180degree
therefore largest angle will be more than 60degree
example=let angle B=angle A = 59 degree
so angle C=180-(59+59)
angle C=180-118
angle C=62degree

HENCE PROVED
I hope that you must have understood it