is such that AB = 3 cm, BC = 2 cm and CA = 2 . 5 cm. If and EF = 4 cm, then perimeter of is

Question

Philoid · Accepted Answer

Given that ΔABC and ΔDEF are similar triangles such that AB = 3 cm, BC = 2 cm, CA = 2.5 cm and EF = 4 cm.

We know that two triangles are similar if their corresponding sides are proportional.

First consider,

⇒ DE = 6 cm … (1)

Now,

⇒ DF = 5 cm … (2)

Then, perimeter of ΔDEF = DE + EF + DF = 6 + 4 + 5

∴ Perimeter of ΔDEF = 15 cm