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Question
If ΔABC ∼ ∆PQR and AB : PQ = 2 : 3, then find the value of `(A(triangleABC))/(A(trianglePQR))`.
Solution
Given: ∆ABC ~ ∆PQR
and AB : PQ = 2 : 3
Since, `(A(triangle ABC))/(A(triangle PQR)) = ((AB)^2)/(PQ)^2` ...[Area of similar triangles]
`(A(triangle ABC))/(A(triangle PQR)) = ((2)^2)/(3)^2`
`(A(triangle ABC))/(A(triangle PQR)) = 4/9`
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