If the areas of two similar triangles are equal, prove that they are congruent.

Explanation

Please refer to video for the figure.
Here, we are given,

`Delta ABC ~ Delta PQR`

It means,

`(Area(Delta ABC))/(Area(DeltaPQR)) = (AB)^2/(PQ)^2 = (CA)^2/(RP)^2 = (BC)^2/(QR)^2`

Now, we are given,

`Area(Delta ABC) = Area(Delta PQR)`

So,`(AB)^2/(PQ)^2 = (CA)^2/(RP)^2 = (BC)^2/(QR)^2=1`

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