Prove that an equilateral triangle can be constructed on any given line segment.

Prove that an equilateral triangle is equiangular.

A triangle can be constructed by taking its sides as:

Construct an equilateral triangle ABC of side 6cm.

Prove that area of an equilateral triangle formed on one side of a given square is one half of area of equilateral triangle formed on diagonal is the same square.

With ruler and compasses, we can bisect any given line segment.

Prove that the medians of an equilateral triangle are equal.

A triangle can be constructed by taking two of its angles as:

Prove that each angle of an equilateral triangle is 60^(0)

Prove that all the vertices of an equilateral triangle can not be integral points (an integral point is a point both of whose coordinates are integers).