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How many triangles can you break a 50-sided polygon into using the diagonals that all start at the same vertex?
Wiki User
∙ 13y ago
48 because (50-2)*180 = sum of interior angles
Wiki User
∙ 13y ago
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How many triangles are formed by drawing the diagonals from the vertex of a polygon with 23 sides?
21
How many diagonals can you drawn from one vertex in a 35 sided polygon?
A diagonal of a polygon is a segment drawn from one vertex to another non-adjacent vertex in a polygon. This leaves 32 diagonals that can be drawn from one vertex in a 35 sided polygon.
If all of the diagonals are drawn from a vertex of an n-gon how many triangles are formed?
If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed
How can you determine the sum of the interior angles of a given polygon?
By drawing all the diagonals from one vertex, the polygon is divided up into triangles. The sum of the interior angles of the polygon is equal to the sum of the internal angles in the triangles. With n vertices, each vertex is not directly connected to n-3 other vertices, thus n-3 diagonals can be drawn from a vertex which will create n-2 triangles (each with the sum of their interior angles as 180o); so: sum_of_interior_angles = 180 x (number_of_sides - 2)
If in a 54 sided polygon all possible diagonals are drawn from one vertex they divide the interior of the polygon into how many regions?
In a 54-sided polygon, 53 possible diagonals can be drawn from one vertex to another. These diagonals will not intersect. Therefore, the interior will be divided into 54 regions by the 53 diagonals plus the two sides of the original polygon that adjoin the vertex from which the diagonals are drawn.
How many triangles can be formed by the diagonals of one vertex of a four-sided polygon?
Two triangles can be formed by the diagonals of one vertex of a four-sided polygon.
How many triangles will be formed in 100 sided polygon if the diagonals are drawn from a single vertex?
98
How many triangles can be formed by diagonals of one vertex of a one hundred sided polygon?
98
How many triangles are formed by drawing the diagonals from the vertex of a polygon with 23 sides?
21
How many triangles will be formed if you draw diagonals from a single vertex of a convex polygon with 8 sides?
It is: 8-2 = 6 triangles
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 can you drawn from one vertex in a 35 sided polygon?
A diagonal of a polygon is a segment drawn from one vertex to another non-adjacent vertex in a polygon. This leaves 32 diagonals that can be drawn from one vertex in a 35 sided polygon.
If all of the diagonals are drawn from a vertex of an n-gon how many triangles are formed?
If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed
How can you determine the sum of the interior angles of a given polygon?
By drawing all the diagonals from one vertex, the polygon is divided up into triangles. The sum of the interior angles of the polygon is equal to the sum of the internal angles in the triangles. With n vertices, each vertex is not directly connected to n-3 other vertices, thus n-3 diagonals can be drawn from a vertex which will create n-2 triangles (each with the sum of their interior angles as 180o); so: sum_of_interior_angles = 180 x (number_of_sides - 2)
If in a 54 sided polygon all possible diagonals are drawn from one vertex they divide the interior of the polygon into how many regions?
In a 54-sided polygon, 53 possible diagonals can be drawn from one vertex to another. These diagonals will not intersect. Therefore, the interior will be divided into 54 regions by the 53 diagonals plus the two sides of the original polygon that adjoin the vertex from which the diagonals are drawn.
What polygon has 4 diagonals from one vertex?
Heptagon
What polygon has 3 diagonals from one vertex?
An hexagon
