Question

The side of a triangle are in ratio of 1/2:1/3:1/4 if the perimeter is 52 cm then find the length of the smallest side is

Answer 1

Let the ratio of sides be (x/2):(x/3):(x/4).

→ 6x : 4x : 3x_____(multiplying by 12).

So, Perimeter of Triangle = Sum of all it's Sides

→ Perimeter = 6x + 4x + 3x

→ 52 = 13x

→ x= 4

So, the smallest side is 3x = 3(4cm)

Smallest side = 12 cm.

(we multiplied by 12 to make it easier, you can solve it directly, without multiplying anything, but the the smallest side will be "x/4".

Thankyou!!!