Question

If ∆ABC∼∆DEF such that DE = 3 cm EF = 2 cm , DF = 2.5 cm, BC = 4 cm, then the perimeter of triangle ABC is:
a. 18 cm
b. 20 cm
c. 12 cm
d. 15 cm​

Answer 1

Answer:

Step-by-step explanation:

Given:

ΔABC ~ ΔDEF

DE = 3 cm, EF = 2 cm, DF = 2.5 cm

BC = 4 cm

We need to find the perimeter of ΔABC.

By the property of similar triangles, we have

Putting in the given values, we have that

AB/3 = 4/2 = AC/2.5

Thus, we get

AB = 6 cm

AC = 5 cm

Hence, the perimeter of ΔABC = AB + AC + BC

                                                  = 6 cm + 5 cm + 4 cm

                                                  = 15 cm

Answer 2

HENCE 0PTION D IS CORRECT REFER TO ATTACHMENT

#ATTITUDE QUEEN♥️♥️