The sides of a triangle are in the ratio ½: 1/3: ¼. If the perimeter is 52cm then the length of the smallest side is________?

A. 9cm
B. 10cm
C. 11cm
D. 12cm

Explanation:

Ratio of sides = ½ : 1/3 : ¼ = 6: 4 : 3

Side are (32 x 6/13)cm, (32 x 4/13)cm and (52 x 3/13)cm i.e…, 24 cm , 16 cm, 12 cm.

Length of smallest side = 12 cm