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