The perimeter of one of two similar triangles is 8 cm larger than the perimeter of the other triangle.

The perimeter of one of two similar triangles is 8 cm larger than the perimeter of the other triangle. Find the perimeters of these triangles if the similarity coefficient is 1/3

1. Take the perimeter of the smaller triangle as x (centimeters). Then the perimeter of another

triangle x + 8 centimeters.

3. Considering that the quotient of the separation of the perimeter of one triangle and the perimeter of a similar

his other triangle is equal to the coefficient of similarity, we compose the equation:

x / (x + 8) = 1/3;

3x = x + 8;

2x = 8;

x = 4 centimeters – the perimeter of the smaller triangle.

The perimeter of another triangle is 4 + 8 = 12 centimeters.

Answer: the perimeter of one of the triangles is 4 centimeters, the other is 12 centimeters.