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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 else can I help you with?
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
Number of diagonals in shapes?
number of diagonals = n(n-3)/2 n - number of sides of the polygon
How many diagonals does a polygon with 38 sides have?
1/2*(n2-3n) = 665 diagonals where n means 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.
How many diagonals does a convex polygon with 23 sides have?
A polygon with n sides has n*(n - 3)/2 diagonals. So n = 23 gives 23*20/10 = 230 diagonals
What are the number of sides if the polygon has 95 diagonals?
There is no such polygon that fits the given information.
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
Which polygon has number of sides is equal to the number of diagonals?
The five sided Polygon has 5 diagonals
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.
The number of diagonals that can be drawn in a polygon with n sides can be determined by nn - 32 How many diagonals can be drawn in a polygon with 10 sides?
38 diagonals
What is the name of the the polygon with 5 diagonals?
The polygon with 5 diagonals is a heptagon. A heptagon has seven sides, and the formula for calculating the number of diagonals in a polygon is given by ( \frac{n(n-3)}{2} ), where ( n ) is the number of sides. For a heptagon, substituting ( n = 7 ) yields ( \frac{7(7-3)}{2} = 5 ) diagonals.
How many diagonals can you draw from one vertex in a polygon with 35 sides?
In a polygon with ( n ) sides, the number of diagonals that can be drawn from one vertex is given by the formula ( n - 3 ). For a polygon with 35 sides, this means you can draw ( 35 - 3 = 32 ) diagonals from one vertex. Thus, from one vertex in a 35-sided polygon, you can draw 32 diagonals.
What is the total number of diagonals in a polygon with eight sides?
It has 20 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
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 are the number of sides if the polygon has 44 diagonals?
11
