Question

If ΔABC and ΔDEF are similar triangles such that AB = 3 cm, BC = 2 cm CA = 2.5 cm and EF = 4 cm, write the perimeter of ΔDEF.

Answer 1

Step-by-step explanation:

hope u understood.....

Answer 2

Perimeter of ΔDEF = 15 cm

Step-by-step explanation:

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

Find: Perimeter of ΔDEF.

Solution:  

When two triangles are similar, their perimeters are proportionate to their corresponding sides.

So perimeter of  ΔABC / perimeter of ΔDEF = BC  / EF  

3 + 2 + 2.5 / x = 2 / 4

Therefore x = 7.5 * 2 = 15 cm

Perimeter of ΔDEF = 15 cm