The lengths of the sides of a triangle are in the extended ratio 5 : 8 : 10. The perimeter of the triangle is 69 cm. What are the lengths of the sides?

The lengths of the triangle are 15 cm, 24 cm and 30 cm.

Step-by-step explanation:

The side lengths of a triangle are in the extended ratio 5 : 8 : 10.

Let the side lengths of the triangle are 5x, 8x and 10x.

Now, the perimeter of the triangle is given to be 69 cm.

So, 5x + 8x + 10x = 69

⇒ 23x = 69

⇒ x = 3

So, the lengths of the triangle are 5x = 5 * 3 = 15 cm, 8x = 8 * 3 = 24 cm and 10x = 10 * 3 = 30 cm. (Answer)