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Question
Δ ABC ~ Δ DEF. If BC = 3cm , EF=4cm and area of Δ ABC = 54 cm2 , find area of Δ DEF.
Solution
Given : Δ ABC ∼ Δ DEF
To find : Ar. of Δ DEF
Sol : `("Ar." triangle "ABC")/("Ar." triangle "DEF") = "BC"^2/"EF"^2`
[The ratio of areas of two triangles is equal to the ratio of square of their corresponding sides.]
`54 / ("Ar" triangle "DEF") = (3/4)^2`
`54 / ("Ar" triangle "DEF") = (9/16)`
Ar Δ DEF = `(54 xx 16)/9`
= 96 cm2
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