Question

∆ABC and ∆DEF are similar. AX and DY are medians of ∆ABC and ∆DEF

respectively. The ratio of the areas of ∆ABC : ∆DEF = 4:9. If BX = 5 cm, find

EF

(a) 3 cm (b) 5 cm (c) 2 cm (d) 15 cm​

Answer 1

Mark as branliest answer

Correct option is

B 5. cm

Given: Area of two similar triangle 100cm

2

and 49cm

2

BC=8.2cm

Let ,EF=x

For similar triangle,

Ratio on sides

2

=Ratio of their Area

∴

x

2

8.2

2

=

49

100

x

2

67.24

=

49

100

100x

2

=67.24×49

x

2

=

100

67.24×49

x

2

=32.9476

x=5.74cm

EF=5.74cm