The lengths of a triangle are in the extended ratio 6:7:9. The perimeter of the triangle is 88 cm. What are the lengths of the sides?

24cm, 28cm, 36cm

Step-by-step explanation:

Since the sides have a ratio of 6:7:9 we can connect them to the variable of x and find the sum of the sides for the perimeter:

P = 6x + 7x + 9x = 88

Combine like terms: 22x = 88

Divide by 22 on both sides: 22x/22 = 88/22

Solve for x: x = 4

6x = 6 (4) = 24cm

7x = 7 (4) = 28cm

9x = 9 (4) = 36 cm