Question

If the angles of a triangle are in the ratio of 3 ratio 7 ratio 5 find the smallest angle

Answer 1

Answer :

$\boxed{Smallest \ angle=36^0}$

Given :

  The angles of a triangle are in the ratio of 3 : 7 : 5

To find :

  Smallest angle

Solution :

   Let the angles of triangle be 3x , 7x and 5x

In a triangle, the sum of the three angles is equal to 180°

        3x + 7x + 5x = 180°

                  15x = 180°

                    x = 180/15

                    x = 12°

⇒ The angles are :

   3x = 3(12°) = 36°

   7x = 7(12°) = 84°

   5x = 5(12°) = 60°

→ The smallest angle is 36°