The lengths of the sides of the triangle are directly proportional to the numbers 4 5 6.

The lengths of the sides of the triangle are directly proportional to the numbers 4 5 6. find the lengths of these sides if the perimeter of the triangle is 45 cm.

1. Let’s check how many parts make up the three sides of the triangle, if they relate as 4: 5: 6:
4 + 5 + 6 = 9 + 6 = 15 parts.
2. Divide the perimeter of the triangle into 15 parts, we get the length of one part:
45/15 = 3 cm.
3. Now we can calculate the length of each side of the triangle, multiplying the number of parts corresponding to each side by 3 cm, we get:
1 side = 4 * 3 = 12 cm.
2 side = 5 * 3 = 15 cm.
3 side = 6 * 3 = 18 cm.
Answer: the sides of the triangle are 12 cm, 15 cm and 18 cm.