Question

∆ABC ~ ∆ DEF is given. if area of ∆ ABC is 18 and area of ∆ DEF is 32. AB = 6 then find DE.​

Answer 1

Answer:

∴ EF=2.875cm

Step-by-step explanation:

ΔABC∼ΔDE

ΔABC=16cm

2

ΔDEF=25cm

2

BC=2.3cm

EF=?

Ratio of area is equal to square of ratios of its corresponding sides

Hence,

ΔDEF

ΔABC

=(

EF

BC

)

2

25

16

=

EF

2

2.3×2.3

EF=

8.265625

∴ EF=2.875cm