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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.
What else can I help you with?
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 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 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 many sides does a polygon have with 35 diagonals?
It has 10 sides because using the formula 0.5*(102-30) = 35 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.
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 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.
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 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 in a polygon with 14 sides?
Using the formula: 0.5*(142-42) = 77 diagonals
How many sides does a polygon have with 35 diagonals?
It has 10 sides because using the formula 0.5*(102-30) = 35 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 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 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.
