Question
Find the ratio of area of the equilateral triangles whose sides are 3 and 4 units.
Answer: Option B
:
B
Let the triangles be △ABC and △DEF
Then AB=3 units and DE=4 units.
Each angle of both △ABC and △DEF is 60∘.
△ABE∼△ACF
(AAA similarity)
So,
ar(ABC)ar(DEF)=BC2EF2=3242=916
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:
B
Let the triangles be △ABC and △DEF
Then AB=3 units and DE=4 units.
Each angle of both △ABC and △DEF is 60∘.
△ABE∼△ACF
(AAA similarity)
So,
ar(ABC)ar(DEF)=BC2EF2=3242=916
Was this answer helpful ?
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