Q. 44.8( 21 Votes )

The angles of a triangle are in the ratio 1:2:3. Determine the three angles.

Answer :

Given: the ratio of angles as 1:2:3

So, let the angle,


A = x, B = 2x, C = 3x



As we know, using theorem (1), in any triangle, sum of the three interior angles is 180 °.


So,


A + B + C = 180°


x + 2x + 3x= 180°


6x = 180°


x = 30°


So, the angles are,


A = x = 30°


B = 2x = 2 × 30° = 60°


C = 3x = 3 × 30° = 90°


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In a triangle ABC, B = 70°. Find A + C.

Karnataka Board - Mathematics Part I