Question

The angles of a triangle are in the ratio 1:2:3. Find the angle in radian

Answer 1

Answer:

π/6, π/2 , π/3

Step-by-step explanation:

As the ratio is 1:2:3, let the angles are x, 2x and 3x.

  We know,

   Sum of all interior angles of a triangle is 180°.

⇒ x + 2x + 3x = 180°

⇒ 6x = 180°

⇒ x = (180/6)°

⇒ x = 30°

           In radians,     [1° = π/180 ]

⇒ x = 30 × (π/180)      

⇒ x = π/6

    Hence the angles are

x = π/6   ; 2x = 2(π/6)    ;  3x = 3(π/6)

x = π/6   ; 2x = π/3        ; 3x = π/2