The lengths of the sides of a triangle are in the ratios 2 : 6 : 7The length of the longest side of the triangle is 24.5 cm.

The question seems to be incomplete. However, if you're asking how to find the lengths of the other sides of the triangle, here's how you can do it:

Step 1: Identify the ratio of the longest side to the other sides. In this case, it's 7 (from the ratio 2:6:7).

Step 2: Divide the length of the longest side by its corresponding ratio. So, 24.5 cm ÷ 7 = 3.5 cm. This gives the value of each single ratio unit.

Step 3: Multiply this value by the ratios of the other sides to find their lengths. So, for the side with a ratio of 2, the length is 2 × 3.5 cm = 7 cm. For the side with a ratio of 6, the length is 6 × 3.5 cm = 21 cm.

So, the lengths of the sides of the triangle are 7 cm, 21 cm, and 24.5 cm.