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Which one among the following statements is correct?

A)  The area of the equilateral triangle described on the side of a square is equal to the area of the equilateral triangle described on its diagonal.

B)  If equilateral triangles are drawn on the sides of a right triangle then the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

C)  The line segments joining the mid-points of the sides of a triangle form four triangles, each of which is similar to the original triangle.

D) both B and C

E) None of these