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

Consider two triangles viz., ΔABC and ΔDEF which are similar to each other.

Given, Area of ΔABC = Area of ΔDEF

Now, we know that ratio of area of two similar triangle is equal to the ratio of squares of their corresponding sides.

∴ All the sides of ΔABC are equal to the corresponding sides of ΔDEF.

 [SSS property]

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