Question 66

Δ DEF and Δ GHI are similar triangles. Length of DE is 4 cm and length of the corresponding side GH is 9 cm. What is the ratio of areas of Δ DEF and Δ GHI?

Solution

It is given that ΔDEF $$\sim$$ ΔGHI

Also, length of DE = 4 cm and length of the corresponding side GH = 9 cm

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

= $$\frac{(4)^2}{(9)^2} = \frac{16}{81}$$

$$\therefore$$ The required ratio is 16 : 81

=> Ans - (C)

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