Question

triangle ABC similar to triangle DEF and is equal to 1 by 3 BC then ABC is ratio DEF is​

Answer 1

Since the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

∴

Area(△DEF)

Area(△ABC)

=

EF

2

BC

2

⇒

Area(△DEF)

54

=

4

2

3

2

⇒ Area(△DEF)=

9

54×16

=96cm

2

Answer 2

Answer

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Correct option is

D

96 cm

2

Since the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

∴

Area(△DEF)

Area(△ABC)

=

EF

2

BC

2

⇒

Area(△DEF)

54

=

4

2

3

2

⇒ Area(△DEF)=

9

54×16

=96cm

2