Question

If the area of two similar triangles are equal, then they are

• A. equilateral
• B. isosceles
• C. congruent
• D. not congruent

Answer 1

The correct option is C congruent

They are congruent.

$Consider△ABCand△PQR$

$\frac{ar\left(△ABC\right)}{ar\left(△PQR\right)}=\frac{{AB}^2}{{PQ}^2}=\frac{{AC}^2}{{PR}^2}=\frac{{BC}^2}{{QR}^2}$

$⟹AB=PQ,AC=PR,BC=QR$

$\therefore The△ABC$ and $△PQR$ are congruent.