The sides of a triangle are in the ration ½: 1/3: 1/4 and its perimeter is 104 cm. The length of longest side is

The sides of a triangle are in the ration ½: 1/3: 1/4 and its perimeter is 104 cm. The length of longest side is

A. 52 cm

B. 48 cm

C. 32 cm

D. 26 cm

ANS: B

EXPLANATION:

LCM of 2,3,4 = 12

Therefore ½:1/3:1/4 = 6/12:4/12:3/12 = 6:4:3

6x+4x+3x = 104

13x = 104

x = 8

Longest side = 6x=48