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What is the equation for the number of triangles that can be drawn in a polygon?
Shdus1
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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What is the Practical application for finding the number of diagonals in a regular 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.
What is the number of diagonls which can be drawn by joining the angular points of a polygon of 100 sides?
It consists of 98 triangles and has 4850 diagonals
What is the total interior angle of aregular polygon if t equals 20 triangles can be drawn inside the polygon?
The total angles will be 3600 degrees, because each triangle will have 180 degrees total.
How many different triangles can be drawn in a hexagon?
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 ...
What can you say about the relationship of the number of diagonals that can be drawn from each vertex of a polygon?
The formula for the number of diagonals is: 0.5*(n^2-3n) whereas 'n' is the number of sides of the polygon
What is the Practical application for finding the number of diagonals in a regular 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.
What is the number of diagonls which can be drawn by joining the angular points of a polygon of 100 sides?
It consists of 98 triangles and has 4850 diagonals
What is the total interior angle of a regular polygon if 20 triangles can be drawn inside the polygon?
20 triangles will fit into a 22 sided polygon whose interior angles add up to 3600 degrees
How many triangles will be formed in 100 sided polygon if the diagonals are drawn from a single vertex?
98
Given n points in the plane you draw all possible triangles whose vertices are any three of the given points Atleast how many of them are obtuse-angled triangles?
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.
The number of diagonals that can be drawn in a polygon with n sides can be determined by nn - 32 How many diagonals can be drawn in a polygon with 10 sides?
38 diagonals
What is the total interior angle of aregular polygon if t equals 20 triangles can be drawn inside the polygon?
The total angles will be 3600 degrees, because each triangle will have 180 degrees total.
How many different triangles can be drawn in a hexagon?
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 ...
What statement can you make about the number of diagonals that can be drawn from one vertex in a polygon?
Number of sides minus two equals number of diagonals drawn from one vertex.
What is the number of triangles formed in a decagon when all the diagonals from one vertex are drawn?
8
What can you say about the relationship of the number of diagonals that can be drawn from each vertex of a polygon?
The formula for the number of diagonals is: 0.5*(n^2-3n) whereas 'n' is the number of sides of the polygon
Which regular polygon can be drawn using rotations?
A dodecagon is a regular polygon that can be drawn using rotations. These are normally drawn in a Geometer's Sketchpad.
