The perimeter of two similar triangle are 30cm and 20 cm respectively .if one side of the first triangle is 12 cm , determine the corresponding side of the other triangle.
The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides.
Use the ratio of the perimeters to find the ratio of the corresponding sides, then use that ratio to find the corresponding side of the second triangle.
The equation is perimeter of first triangle/perimeter of second triangle=30/20
Substitute the known value for the side of the first triangle 12 to find the corresponding side of the second triangle.
12/x=30/20
Solving above equation we get
The corresponding side of the second triangle is 8 c.m.