Question

If the angle of a triangle are in the ratio 1:2:3 then the samallest angle in radian is

Answer 1

Answer:

As sum of all angles in the triangle is 180 degree. Angles are 30 , 60 and 90 degree. So , the smallest angle of all is 30 degree. ∴ smallest angle in radian is π/6

You know, the sum of angles in a triangle is 180°

Let us consider the angles of a triangle are : x°, 2x°and 3x° then

x°+2x° +3x°=180°

6x°=180°

x=30°

Angles are 30° , 60°. and. 90°.

So the small angle in the ratio is 30°

Hope my answer is helpful to you.