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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 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.
How many diagonals from one vertex in 16gon?
Using the formula 0.5(n^2 -3n) whereas n is number of sides, altogether there are 104 diagonals in a 16 sided polygon
Number of diagonals in shapes?
number of diagonals = n(n-3)/2 n - number of sides of the polygon
How many diagonals does a pentadecagon have using a formula?
Number of diagonals in a polygon with n sides is n*(n-3)/2 A pentadecagon has 15 sides, so n = 15 Number of diags = 15*12/2 = 90
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 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 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.
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
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
How many diagonals in triangle to dodecagon?
The formula is: 0.5*(n2-3n) = number of diagonals when n is the number of sides of the polygon
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 do you find the number of diagonals in a polygon?
Use the formula of: 0.5*(n2-3n) whereby n is the number of sides of the polygon
What is the total number of diagonals?
Total diagonals formula: 0.5*(n^2 -3n) whereas n is the number of sides of the polygon
What is the formula for the number of diagonals in a nonagon?
For a 9 sided polygon it is: 0.5*(92-(3*9)) = 27 diagonals
What is the formula for the number of diagonals in a hexagon?
n side polygon has n(n-3)/2 diagonals therefore a hexagon has 9 diagonals
What is the formula for the number of diagonals?
1/2*(n2-3n) where n is the number of sides of the polygon.
