The sides of a triangle are in the ratio (1/2) : (1/3) : (1/4), and its perimeter is 104 cm. The length of the long side is-

Question: The sides of a triangle are in the ratio (1/2) : (1/3) : (1/4), and its perimeter is 104 cm. The length of the long side is-

Solution:
The sides of a triangle are in the ratio 1/2 : 1/3 : 1/4,
we multiply each term by 12 we get 6 : 4 : 3,
Let the sides be 6x, 4x, 3x

Then, 13x=104
→ x= 8
• The length of the long side = 48.