Definition: Triangles of a polygon are the triangles created by drawing line segments from one vertex of a polygon to all the other vertices.
AnswerFor a regular polygon having 'n' sides, the number of triangles that can be drawn in it is (n-2).Hence, you can draw 2 triangles in a square, 3 in a pentagon, 4 in a hexagon, etc.
For an irregular polygon, this formula may not always hold true.
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The diagonals (drawn from a point) help in dividing the regular polygon into smaller triangles. The sum of the areas of these smaller triangles help in determining the total area of the polygon.
It consists of 98 triangles and has 4850 diagonals
The total angles will be 3600 degrees, because each triangle will have 180 degrees total.
An infinite number. Having drawn a triangle, it can be converted into two triangles by simply adding a line from any vertex to any point on the opposite side. That increases the number of triangles by one. Repeat with another triangle. And again ...
The formula for the number of diagonals is: 0.5*(n^2-3n) whereas 'n' is the number of sides of the polygon
The diagonals (drawn from a point) help in dividing the regular polygon into smaller triangles. The sum of the areas of these smaller triangles help in determining the total area of the polygon.
It consists of 98 triangles and has 4850 diagonals
20 triangles will fit into a 22 sided polygon whose interior angles add up to 3600 degrees
98
The least number of obtuse triangles, if all possible triangles are drawn for n points in a plane, is zero. If all the n points lie in a straight line, no triangles are possible and so no obtuse triangles are able to be drawn; thus for any number n, there is a possibility that no obtuse triangles can be drawn, so the least possible number of obtuse triangles drawn is zero.
38 diagonals
The total angles will be 3600 degrees, because each triangle will have 180 degrees total.
An infinite number. Having drawn a triangle, it can be converted into two triangles by simply adding a line from any vertex to any point on the opposite side. That increases the number of triangles by one. Repeat with another triangle. And again ...
Number of sides minus two equals number of diagonals drawn from one vertex.
8
The formula for the number of diagonals is: 0.5*(n^2-3n) whereas 'n' is the number of sides of the polygon
A dodecagon is a regular polygon that can be drawn using rotations. These are normally drawn in a Geometer's Sketchpad.