We know that in an isosceles triangle, angles opposite to equal sides are equal. but what if angles are opposite to non equal side?

Hi Arsh!

 

In a triangle,

(i)  The angles opposite to unequal sides are equal.

(ii)  The sides opposite to unequal angles are equal.

 

Statement (i) can be written on other way as:

Angle opposite to the longer side of a triangle is greater or angle opposite to the shorter side of a triangle is smaller.

 

For example, consider the following triangle ABC.

 

 

In this triangle AC > AB. So, we can say that ∠ABC > ∠ACB.

 

Statement (ii) can be written in another way as: Side opposite to the greater angle of a triangle is longer or side opposite to the smaller angle of a triangle is shorter.

 

For example, consider the following triangle ABC

 

 

In DABC, ∠BAC > ∠ACB

∴BC > AB

 

Hope! This will help you.

Cheers!