Question

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

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Given:

AB=DE,BC=EF,CA=FD

Thus, △ABC≅△DEF [BY SSS] criterion of congruence]

Given: ΔABC ~ ΔPQR

ar ΔABC = ar ΔPQR

To Prove: ΔABC ≅ ΔPQR

Proof:

ar ΔABC / ar ΔPQR = 1

AB²/PQ² = BC²/QR² = CA²/PR² = 1

AB = PQ, BC = QR and CA = PR

Therefore, ΔABC ≅ ΔPQR (By SSS criterion of congruence)

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