draw an example of each polygon
Select any one of the vertices and draw all the diagonals from that vertex. This will divide the polygon (with n sides) into n-2 triangles. Use the coordinates of the vertices of each triangle to calculate its area, and then add the areas of these triangles together.
Because it has only 3 sides and a polygon must have 4 or more sides to have diagonals. A diagonal of a polygon is a line segment which connects two non-adjacent vertices. Since from any vertex of a triangle, you are adjacent to both of the other vertex, there are not any non-adjacent vertices.
A hexagon is a geometric shape with six sides. To draw one, draw a polygon with six sides.
Draw the perpendicular bisectors of any two sides which are not directly opposite one another. These will meet at the centre of the circle.If it has an even number of vertices, simply join two pair of opposite vertices. They will intersect at the centre of the circle.
A hexagon and a triangle
n-3 diagonals. Of the n vertices of the polygon, you cannot draw diagonals to the two adjacent vertices since these are sides of the polygon and so not diagonals. And you cannot draw a diagonal from a vertex to itself. So those are three vertices that are ruled out, leaving n-3.
Select any one of the vertices and draw all the diagonals from that vertex. This will divide the polygon (with n sides) into n-2 triangles. Use the coordinates of the vertices of each triangle to calculate its area, and then add the areas of these triangles together.
Because it has only 3 sides and a polygon must have 4 or more sides to have diagonals. A diagonal of a polygon is a line segment which connects two non-adjacent vertices. Since from any vertex of a triangle, you are adjacent to both of the other vertex, there are not any non-adjacent vertices.
A hexagon is a geometric shape with six sides. To draw one, draw a polygon with six sides.
Of course. The vertices of a triangle, and any three vertices of any other polygon, are non-collinear. In the case of a triangle and a quadrilateral, if you had three collinear vertices, then you couldn't have the polygon.
There is no greatest. Any polygon you draw, no matter how many sides it has, I can always draw a polygon with more sides than yours has. They don't all have names, but there's no limit to the number of sides they can have.
Draw the perpendicular bisectors of any two sides which are not directly opposite one another. These will meet at the centre of the circle.If it has an even number of vertices, simply join two pair of opposite vertices. They will intersect at the centre of the circle.
A hexagon and a triangle
A nonagon is a polygon with 9 sides
polygon of more than 4 sides and a triangle.
Then you would draw the polygon inside of the circle, or in other words, "inscribe" the polygon.
you can have just about as many as you pleas, just dont try to draw a polygon with 1 million sides