Is it necessary that the cross section of a prism be any particular type of triangle such as an equilateral triangle?

Show that the angles of an equilateral triangle are 60^@ each.

Prove that the medians of an equilateral triangle are equal.

Write the negation of the following statements: All triangles are not equilateral triangle.

Show that a triangle of maximum area that can be inscribed in a circle of radius a is an equilateral triangle.

Prove that the points (0, 0), (3, (pi)/(2)) and (3, (pi)/(6)) are the vertices of an equilateral triangle.

AD, BE and CF are altitudes of triangle ABC. If AD = BE = CF, prove that triangle ABC is an equilateral triangle.

If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.

Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal.

Write the contrapositive of the following statement: if a triangle is equilateral,it is isosceles.

Show that the point A(a,a), B(-a,-a) and C (-sqrt(3)a, sqrt(3) a) are the vertices of an equilateral triangle.