The perimeter of a triangle is 60 cm, and its sides are in the ratio 3: 5: 7

The perimeter of a triangle is 60 cm, and its sides are in the ratio 3: 5: 7. Find the sides of the triangle, the vertices of which are the midpoints of the sides of this triangle.

Let’s solve this problem using the equation.
The perimeter of a triangle whose vertices are the midpoints of the sides of this triangle is half the perimeter of this triangle.
Let the length of the first side of the triangle be 3 * x centimeters, then the length of the second side is 5 * x centimeters and the length of the third side is 7 * x centimeters. We know that the perimeter of a triangle is 30 centimeters. Let’s make the equation:
3 * x + 5 * x + 7 * x = 30;
x * (3 + 5 + 7) = 30;
x * 15 = 30;
x = 30: 15;
x = 2 centimeters;
2 * 3 = 6 centimeters – first side;
2 * 5 = 10 centimeters – the second side;
7 * 2 = 14 centimeters – third side.
Answer: 6 centimeters; 10 centimeters; 14 centimeters.