Question 63

ΔDEF is similar to ΔGHI. Length of DE is 16 cm and length of the corresponding side GH is 25 cm. What is the ratio of areas of ΔDEF : ΔGHI?

Solution

It is given that ΔDEF $$\sim$$ ΔGHI

Also, length of DE = 16 cm and length of the corresponding side GH = 25 cm

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

= $$\frac{(16)^2}{(25)^2} = \frac{256}{625}$$

$$\therefore$$ The required ratio is 256 : 625

=> Ans - (C)

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