if the area of two similar triangles are equal then prove that the triangles are congruent...
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Use the theorem that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides , then prove that they are congruent. → ∆ABC ~ ∆DEF such that ar(∆ABC) = ar( ∆DEF) . ... [ by SSS-congruency ] . Hence, it is proved.
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