Question
ΔABC is similar to ΔDEF is area of ΔABC is 9 sq. cm. and area of ΔDEF is 16 sq. cm. and BC = 21 cm. Then the length of EF will be:
Answer: Option B
∵ ΔABC ≅ ΔDEF
$$\eqalign{
& \therefore \frac{{AB}}{{DE}} = \frac{{BC}}{{EF}} = \frac{{\sqrt 9 }}{{\sqrt {16} }} \cr
& = \frac{{2.1}}{{EF}} = \frac{3}{4} \cr
& EF = 2.8\,{\text{cm}} \cr} $$
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∵ ΔABC ≅ ΔDEF
$$\eqalign{
& \therefore \frac{{AB}}{{DE}} = \frac{{BC}}{{EF}} = \frac{{\sqrt 9 }}{{\sqrt {16} }} \cr
& = \frac{{2.1}}{{EF}} = \frac{3}{4} \cr
& EF = 2.8\,{\text{cm}} \cr} $$
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