Question

If ΔABC ∼ ∆PQR and AB : PQ = 2 : 3, then find the value of `(A(triangleABC))/(A(trianglePQR))`.

Answer 1

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`