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

24 cm

Step-by-step explanation:

The triangle must have the ratio of 6:7:9 for side lengths. If the triangle had these exact sides then the perimeter would be 6 + 7 + 9 = 22 cm. Since the triangle has 88 cm as its perimeter then 22*4 = 88. This means multiplying by a scale factor of 4 will give the side length.

6 * 4 = 24

7 * 4 = 28

9 * 4 = 36

The perimeter is 24 + 28 + 36 = 88 cm.

The shortest side is 24.