Question

∆ABC ~ ∆DEF, Bc=4cm,Ef=5cm and area of ∆ABC=64cm².
Determine the area of ∆DEF​

Answer 1

Step-by-step explanation:

Ar(ABC)/ar(DEF)=BC/EF. (by theorem) 

80/ar(DEF)=4/5

ar(DEF)=80*5/4

ar(DEF)=100 cm sq.

Answer 2

Step-by-step explanation:

since triangle ABC is similar to triangle DEF

area of ABC/area of DEF = (BC/EF)2

64/area of DEF = (4/5)2

64/area of DEF = 16/25

cross multiplying these digits we get

area of DEF = 25*64/16

=> area of DEF = 100cm2