Question

The angle of a triangle are in the ratio 1:2:3. What is the measure of the largest angle in radian?​

Answer 1

Answer:

Let the angle in the fixed ratio include in "x" therefore, the angles of triangles are x, 2x, 3x.

Now,

x+2x+3x=180°(Angle sum property of Δs)

5x=180°

x=36°

greatest angle=3x=3*36°

= 108°

measure in radians: π/180°*108°

= 3π/5(Answer)