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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.

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Q: What is the formula for the sides of a polygon if the diagonals are given?
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How do you find the number of sides of a polygon given the number of diagonals?

Using the formula (x)(x-3)/2 = Diagonals ; simply replace the diagonals with the number of diagonals you're given. Then, you'll havev (x)(x-3)/2 = Diagonals. Simplify it, and you'll be given x(power of 2) - 3X = (2)(Diagonals). Subtract the amount of diagonals from both sides, and you'll have x(power of 2) - 3X - 2Diagonals = 0. From there, use the quadratic formula to find the number of sides the polygon has.


What are the number of sides if the polygon has 95 diagonals?

There is no such polygon that fits the given information.


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


How many diagonals in a polygon with 14 sides?

Using the formula: 0.5*(142-42) = 77 diagonals


How yo find the formula on how to solve 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 many sides does a polygon have with 35 diagonals?

It has 10 sides because using the formula 0.5*(102-30) = 35 diagonals


What is the formula to find diagonals in polygon?

0.5*(n2-3n) where n is equal to the number of sides of the polygon


How can you find the number of diagonals in a polygon?

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


How many diagonals does a 11 sided polygon have?

You can find the number of diagonals in a polygon using the formula n(n-3)/2, where n is the number of sides. Therefore an 11 sided polygon has 44 diagonals.


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.


How many diagonals are there in a polygon of 11 sides?

how many diagonals are there iin a polygon of 11 sides