The lengths of the sides of a triangle are in the extended ratio 4 : 9 : 10. the perimeter of the triangle is 115 cm. what are the lengths of the sides?

If the lengths of the sides will be: 4x, 9x and 10x.

perimeter of a triangle is the sum of all sides.

Therefore; we can suggest the following equation:

4x+9x+10x=115

23x=115

x=115/23

The lengths of the sides will be:

4x=4 (115/23) = 20

9x=9 (115/23) = 45

10x=10 (115/23) = 50

Answer: the lengths would be: 20 cm, 45 cm and 50 cm.