Question

If two similar triangles are of equal areas, then the two triangles are​

Answer 1

Step-by-step explanation:

If areas of two similar triangles are equal then they are congruent .

Answer 2

If two similar triangles are of equal areas, then the two triangles are​ congruent.

Let two triangles be ΔABC and ΔPQR

ΔABC ≈ ΔPQR

Area ΔABC/Area ΔPQR = (AB/PQ)² = (BC/QR)² = (AC/PR)²

If Area of ΔABC ≈ area of  ΔPQR

(AB/PQ)² = 1

AB = PQ

(BC/QR)² = 1

BC = QR

(AC/PR)² = 1

AC = PR

If all sides of a triangle are equal they are called congruent.

Therefore, ΔABC ≅ ΔPQR

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