Question

The sides ofa traingle are in the ratio 1/2:1/3:1/4 and its perimets 104cm.the length of the longest sides

Answer 1

Let the sides be x/2, x/3 and x/4

Perimeter of the triangle = 104 cm

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

x(½+⅓+¼) = 104

x(6+4+3) /12 = 104

x(13/12) = 104

x = 104 × 12/13

x = 96

The sides are

x/2 = 96/2 = 48 cm

x/3 = 96/3 = 32 cm

x/4 = 96/4 = 24 cm

The longest side is 48 cm

Answer 2

Answer :-

Let the sides be x/2, x/3 and x/4

Perimeter of the triangle = 104 cm

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

x(½+⅓+¼) = 104

x(6+4+3) /12 = 104

x(13/12) = 104

x = 104 × 12/13

x = 96

The sides are

x/2 = 96/2 = 48 cm

x/3 = 96/3 = 32 cm

x/4 = 96/4 = 24 cm

The longest side is 48 cm