1. 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?
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By: anil on 05 May 2019 02.18 am
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 = $$(DE)^2$$ : $$(GH)^2$$ = $$frac{(4)^2}{(9)^2} = frac{16}{81}$$ $$ herefore$$ The required ratio is 16 : 81 => Ans - (C)
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