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What is the number of triangles formed in a decagon when all the diagonals from one vertex are drawn?
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∙ 13y ago
8
Wiki User
∙ 13y ago
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What is the least number of triangles that a decagon can be cut into?
It is 8 triangles
How many diagonals are there in a decagon?
A decagon has 35 diagonals. A Nonagon has 27 diagonals. An Octagon has 20 diagonals. A Heptagon has 14 diagonals. A Hexagon has 9 diagonals. A Pentagon has 5 Diagonals. A Square has 2 Diagonals. A triangle has 0 Diagonals.Do you get the point?0+2+3+4+7+8. Starting with the triangle.you don't need to start with the triangle because it is 0 diagonals and will not count when you add it up anyways. And don't call it a square, call it a quadrilateral.Shut up-------Imagine a hexagone-There are two vertices at the top which make a horizontal line- Opposite them there are 2 vertices on the bottom which we can draw straight lines totherefore-There would have been 6 connections per point, but we eliminated 3(n-3)---The connections occur for every vertex in the shapethereforen(n-3)--We don't want to draw the same connections twice once we get around to vertices on the opposite side of the shapethereforen/2(n-3)where n is the number of facesThis may be applied to many if not all polygons. A Decagon has 36 sides not 35...There are 35 diagonals in a 10 sided decagon
What is the relationship between the number of polygon sides and the number of triangles formed?
i don't know that is why i asked you
What is the maximum number of triangle that can be formed in a regular octagon by drawing all posaible diagonals from a single vertex Expain your response?
6 triangles because there are 180 degrees in a triangle and 6*180 = 1080 degrees which is the sum of the angles in octagon when added up.
A heptagon can be divided into how many triangles by drawing all of the diagonals from one vertex?
If you are merely drawing from one vertex to all the others, the number of triangles in any n-sided figure is equal to n-2. In this case, a heptagon has seven sides, and thus (7 - 2) = 5 triangles can be drawn.
How many triangles are formed by the diagonals in a 21 sided polygon?
The number of triangles formed by the diagonals of a 21 sided polygon is C(21,3) = 21x20x19/3x2x1 = 1,330.
What is the number of triangles in a decagon?
8
What is the least number of triangles that a decagon can be cut into?
It is 8 triangles
What is the total number of diagonals in a decagon?
It is: 0.5*(10 squared - (3*10)) = 35 diagonals
What is the maximum number of triangle that can be formed from a decagon from a single vertex?
It is: 8 because 8 triangles make up a 10 sided polygon
How many diaganols does a decagon have?
A decagon has 35 diagonals. This can be computed by multiplying ten by seven and dividing by two. Seven is derived from the number of sides minus three.
What is the number of diagonals formed by hexagon?
Diagonals in an hexagon: 0.5*(6^2 -3*6) = 9 diagonals
The number of tringles formed by joining the vertices of a decagon is?
50
What is the connectionbetween the number of sides of the polygon and the number of triangles into which it may be divided by drawing diagonals from one vertex?
Number of sides minus 2 equals the number of triangles within the polygon.
How many diagonals does a decagon have?
1oo diagonals, because 1 side has 10 diagonals so 10 sides (10x10) = 100 diagonals! This is the correct answer..... a decagon has 35 diagonals. The equation for the this is D=n(n-3)/2 meaning diagonals = number of sides (N) multiplied by number of sides minus 3. and that number over 2. D=10(10-3)/2
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 equation for the number of diagonals that can be formed in a polygon?
The equation is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
