If the areas of two similar triangles are equal, prove that they are congruent
Let us consider two similar triangles as ΔABC 
ΔPQR
2 = 
2 = 
2 (i)
1 = 
2 = 
2 = 
2
AB = PQ
BC = QR
And,
AC = PR
Hence,
ΔABC 
ΔPQR (By SSS rule)
4
If the areas of two similar triangles are equal, prove that they are congruent
Let us consider two similar triangles as ΔABC ΔPQR
2 = 2 = 2 (i)
1 = 2 = 2 = 2
AB = PQ
BC = QR
And,
AC = PR
Hence,
ΔABC ΔPQR (By SSS rule)