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]