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

1.	If the areas of two similar triangles are equal, prove that they are congruent
Answer» Given: ΔABC ~ ΔPQR. &ar ΔABC =ar ΔPQRTo Prove: ΔABC ≅ ΔPQRProof: Since, ΔABC ~ ΔPQRar ΔABC =ar ΔPQR. (given)ΔABC / ar ΔPQR = 1⇒ AB²/PQ² = BC²/QR² = CA²/PR² = 1[ USING THEOREM OF AREA OF SIMILAR TRIANGLES]⇒ AB= PQ , BC= QR & CA= PRThus, ΔABC ≅ ΔPQR[BY SSS criterion of congruence]

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