Defining a diagonal as any two vertices that are not connected by an edge (non-adjacent) of the polygon, you can determine the amount of diagonals using the following formula
s = sides in polygon
(s*(s-3))/2
So,
(3*(3-3))/2 = 0
(4*(4-3))/2 = 2
(5*(5-3))/2 = 5
(6*(6-3))/2 = 9
(7*(7-3))/2 = 14
(8*(8-3))/2 = 20
(9*(9-3))/2 = 27
(10*(10-3))/2 = 35
(11*(11-3))/2 = 44
So, the polygon would have to have somewhere between 10 and 11 sides. Since a polygon can not have fractional amount of sides, no polygon exists that has 42 diagonals.
65
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon
0.5*(n2-3n) where n is equal to the number of sides of the polygon
You can use the formula D=S-2 where D is the number of possible diagonals and S is the number of sides the polygon has.
There are 44 diagonals in an 11-sided polygon. heres how to find the amount of diagonals: S=amount of sides 1/2 S(S-3)
It is: 0.5*(n2-3n) = diagonals whereas 'n' is the number of sides of the polygon
65
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon
0.5*(n2-3n) where n is equal to the number of sides of the polygon
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.
Use the formula of: 0.5*(n2-3n) whereby n is the number of sides of the polygon
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.
You can use the formula D=S-2 where D is the number of possible diagonals and S is the number of sides the polygon has.
1/2*(n2-3n) = number of diagonals 1/2*(202-60) = 170 diagonals
There are 44 diagonals in an 11-sided polygon. heres how to find the amount of diagonals: S=amount of sides 1/2 S(S-3)
Use the formula: 0.5*(n2-3n) whereas 'n' is the number of sides of the polygon So: 0.5*(25-15) = 5 diagonals
1/2*(n2-3n) = number of diagonals 1/2*(202-60) = 170 diagonals