Question 85

ΔDEF is similar to ΔGHI. Length of DE is 9 cm and length of the corresponding side GH is 16 cm. What is the ratio of areas of Δ DEF : ΔGHI?

Solution

It is given that ΔDEF $$\sim$$ ΔGHI

Also, length of DE = 9 cm and length of the corresponding side GH = 16 cm

=> Ratio of Area of ΔDEF : Area of ΔGHI = Ratio of square of corresponding sides = $$(DE)^2$$ : $$(GH)^2$$

= $$\frac{(9)^2}{(16)^2} = \frac{81}{256}$$

$$\therefore$$ The required ratio is 81 : 256

=> Ans - (C)

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