Answer :

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]


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