Question

19. In the given figure if D ABC ~ D DEF and ar D DEF = 256 sq cm then ar D ABC = ___​

Answer 1

Answer:

∴

ar(△DEF)

ar(△ABC)

=

(DE)

2

(AB)

2

⟹

ar(△DEF)

56

=

(DE)

2

(2DE)

2

[given]

⟹

ar(△DEF)

56

=

(DE)

2

4(DE)

2

⟹ar(△DEF)=

4

56

⟹ar(△DEF)=14 cm

2

Step-by-step explanation:

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