Q. 24.1( 18 Votes )

If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.

Answer :

Given that the angles of the triangle are in ratio 1 : 2 : 3

Let, the angles be a, 2a, 3a

Therefore, we know that

Sum of all angles if triangle is 180o

a + 2a + 3a = 180o

6a = 180o

a =

a = 30o

Since, a = 30o

2a = 2 (30o) = 60o

3a = 3 (30o) = 90o

Therefore, angles are a = 30o, 2a = 60o and 3a = 90o

Hence, angles are 30o, 60o and 90o.

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