if the area of two similar triangles are equal then prove that its congruent?

Asked by  | 22nd Sep, 2010, 01:39: PM

Expert Answer:

The theorem on areas of similar triangles says:The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.Consider 2 similar triangles ABC and PQR,area of ΔABCarea of ΔPQR=ABPQ2=BCQR2=CARP2As the areas are equal, ABPQ2=BCQR2=CARP2=1So AB = PQ; BC=QR;CA=RPtherefore triangles are congruent by SSS.">

Answered by  | 22nd Sep, 2010, 09:48: PM

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