If the angles of a triangle are in the ratio 1 : 2 : 3, prove that its corresponding sides are in the ratio .
Given: Angles of a triangle are in the ratio 1 : 2 : 3
Need to prove: Its corresponding sides are in the ratio
Let the angles are x , 2x , 3x
Therefore, x + 2x + 3x = 1800
6x = 1800
x = 300
So, the angles are 300 , 600 , 900
So, the ratio of the corresponding sides are:
= sin300 : sin600 : sin900
=
= [Proved]