Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.

Draw a rough sketch of a regular octagon. (Use squared paper if you wish).Draw a rectangle by joining exactly four of the vertices of the octagon.

Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.

Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior.

Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle with these vertices is an equilateral triangle is equal to

Show that the line joining the centroid of a triangle to its vertices divide it into three triangles of equal area.

If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is :

Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle has exactly one side common with the side of the hexagon is

Three vertices are chosen at random from the vertices of a regular hexagon then The probability that the triangle has exactly two sides common with the side of the hexagon is