Question

The perimeter of two similar triangles are 30 cm and 24 cm. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle.

Answer 1

Let ΔABC ~ ΔDEF

Then, `(AB)/(DE) = (BC)/(EF) = (AC)/(DF) = (AB + BC + AC)/(DE + EF + DF)`

= `"Perimeter of ΔABC"/"Perimeter of ΔDEF "`

`=> "Perimeter of ΔABC"/"Perimeter of ΔDEF " = (AB)/(DE)`

`=> (30)/(24) = (12)/(DE)`

`=>` DE = 9.6 cm