Question

The lengths of the sides of the triangle are in the ratio 3:4:5. Find the length of the sides of this triangle if it’s perimeter is 96cm

Answer 1

Let the common ratio be x.

Therefore, the lengths of the sides of the triangle are:
3x, 4x, and 5x

The perimeter of the triangle is the sum of all three sides:
3x + 4x + 5x = 96

12x = 96

x = 8

Therefore, the lengths of the sides are:
3x = 3(8) = 24 cm
4x = 4(8) = 32 cm
5x = 5(8) = 40 cm

So, the lengths of the sides of the triangle are 24 cm, 32 cm, and 40 cm.