Question

If the angle of a triangle are in the ratio 1.2.3 then the smallest angle in radian is

Answer 1

Answer:

π/6

Step-by-step explanation:

let the common ratios of angles be x

then the angles would be x,2x and 3x

now, x+2x+3x=180°

[since sum of all angles of triangle is 180°]

6x=180

x=30°

now the angles are

x=30°

2x=2×30=60°

3x=3×30= 90°

Now, the smallest angle is

30° which is also equal to π/6 in radian