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The equation is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon

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Q: What is the equation for the number of diagonals that can be formed in a polygon?
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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.


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Which polygon has number of sides is equal to the number of diagonals?

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How many sides are there in the polygon if the number of diagonals is twice as the number of sides?

A 7 sided polygon has 14 diagonals


What is the formula to determine the number of diagonals in a polygon?

It is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon


How do you get the total number of diagonals of a polygon?

The formula is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon


What is the relationship between the number of sides of a polygon and the number of diagonals?

Number of diagonals = 1/2*(n2-3n) where n = the number of sides of the polygon.


How many number of side does it have in a closed polygon with 14 diagonals?

A polygon with 14 diagonals will have 7 sides


What is the formula for the sides of a polygon if the diagonals are given?

1/2*(n2-3n) = number of diagonals Rearranging the formula: n2-3n-(2*diagonals) = 0 Solve as a quadratic equation and taking the positive value of n as the number of sides.


What are the two ways of finding the number of sides of a polygon which has 189 diagonals?

By using the polygon diagonal formula or the quadratic equation formula in which in both formulae they work out that the polygon in question has 21 sides.


What is the total number of diagonals in a polygon with eight sides?

It has 20 diagonals


What is the total number of diagonals in a 7-sided polygon?

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