Question

Sides of triangle are in ratio 1/2 :1/3:1/4 and its perimeter is 104cm find longest side

Answer 1

In ΔABC

AB = x/2

BC = x/3

AC = x/4

Perimeter = x/2 + x/3 + x/4 = 104

6x + 4x + 3x = 104 x 12

13x = 104 x 12

x = 8 x 12 = 96

AB = x/2 = 48cm

BC = x/3 - 32cm

AC = x/4 = 24cm

AB is the longest side which has 48cm long (1/2 ratio)