ΔABC ~ ΔDEF and their perimeters are 32 cm and 24 cm respectively. If AB = 10 cm then DE = ?

Question

Philoid · Accepted Answer

Given: ∆ABC ∼ ∆DEF

Perimeter of ∆ABC = 32 cm

Perimeter of ∆DEF = 24 cm

AB = 10 cm

To find: DE

∵ ∆ABC ∼ ∆DEF

∴ The ratio of the corresponding sides of ∆ ABC and ∆ DEF are equal to the ratio of the perimeter of the corresponding triangles.