The perimeters of two similar triangles are 30 cm and 20 cm respectively. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle.

The perimeter of two similar triangles are 20 cm and 16 cm respectively. If the length of one side of the first triangle is 9 cm, then find the length of the length corresponding side of second triangle.

The areas of two similar triangles are 81 cm^(2) and 49 cm^(2) respectively. If the altitude of the bigger triangle is 4.5 cm. Find the corresponding altitude of the smaller triangle.

The areas of two similar triangles are 9 cm^2 and 16 cm^2 respectively. The ratio of their corresponding sides is

The perimeters of two similar triangles triangleABC and trianglePQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is___

Prove that the perimeters of two similar triangles are proportional to any two corresponding sides of them.

(i) The sides of a triangle are 6 cm, 8 cm and 10 cm, find the position of the circum-centre of the triangle.