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?
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)
Create a FREE account and get:
Quick, easy and effective revision
