the lingths of the side of a triangle are in the ratio 3:5:6. the primiter of the triangle is 21cm find the lingth of each side on the triangle

Sure, here's how you can solve this problem:

1. First, you need to understand that the ratio 3:5:6 represents the lengths of the sides of the triangle. This means that if you add up the parts of the ratio, you get the total number of parts that make up the perimeter of the triangle. So, 3 + 5 + 6 = 14 parts.

2. The problem states that the perimeter of the triangle is 21 cm. This is the total length of all sides of the triangle.

3. To find out the length of each part, you divide the total length (perimeter) by the total number of parts. So, 21 cm ÷ 14 parts = 1.5 cm/part.

4. Now, to find the length of each side of the triangle, you multiply the number of parts that side represents by the length of each part. So:

   • For the side that is 3 parts, 3 parts x 1.5 cm/part = 4.5 cm.
   • For the side that is 5 parts, 5 parts x 1.5 cm/part = 7.5 cm.
   • For the side that is 6 parts, 6 parts x 1.5 cm/part = 9 cm.

So, the lengths of the sides of the triangle are 4.5 cm, 7.5 cm, and 9 cm.