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How many sides does an irregular polygon have if it has 252 diagonals showing work?
Let its sides be x and rearrange the diagonal formula into a quadratic equation:-
So: 0.5(x^2-3x) = 252
Then: x^2-3n-504 = 0
Solving the quadratic equation: gives x a positive value of 24
Therefore the polygon has 24 sides irrespective of it being irregular or regular
What else can I help you with?
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
How many sides does a polygon have with 65 diagonals?
It will have 13 sides because 0.5*(132-39) = 65 diagonals
What are the number of sides if the polygon has 44 diagonals?
11
What is the equation for the number of diagonals that can be formed in a polygon?
The equation is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
How many diagonals can be drawn from one angle of a polygon with 64 sides?
64 sides = 64 angles From one angle you can draw (64 - 2) diagonals = 62. Lines from an angle to the immediately adjacent angles are sides, not diagonals.
What regular polygon has 27 diagonals?
It has 9 sides and it can be an regular or a irregular polygon which is called a nonagon Check: 0.5*(81-27) = 27 diagonals
How many sides does an irregular polygon have if it has 135 diagonals?
Let the number of sides be x and by solving the equation for diagonals 0.5(x*x-3x) = 135 the solution is -15 or 18 and so therefore it has 18 sides irrespective if it is an irregular or a regular polygon
How many sides does an irregular polygon have when it has 230 diagonals showing work?
Let its sides be x and use the formula: 0.5*(x squared-3x) = 230 So: x squared-3x-460 = 0 Solving the quadratic equation gives x positive value of 23 Therefore the polygon has 23 sides irrespective of it being a regular or an irregular polygon. Check: 0.5*(23^2-(3*23)) = 230 diagonals
How many diagonals are there in a polygon of 11 sides?
how many diagonals are there iin a polygon of 11 sides
104 diagonals polygon?
A polygon that has 104 diagonals will have 16 sides
What type of polygon has 20 diagonals?
A regular octogon (8 sides) has 20 diagonals. An irregular octogon also has 20 diagonals, but only if all its points point outwards.
How many diagonals does a polygon with 3 sides have?
That polygon is called a "triangle". It has no diagonals.
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
What are the total diagonals in an irregular polygon whose interior angles add up to 1980 degrees showing all work?
Suppose the polygon has V vertices.Then sum of interior angles is (V - 2)*180 degrees = 1980 degrees => V - 2 = 1980/180 = 11 => V = 13 A polygon with V vertices has V*(V-3)/2 = 13*10/2 = 65 diagonals.
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
How many diagonals are in a polygon with 14 sides?
There are 77 diagonals
What polygon has twice as many diagonals as sides?
An heptagon has 7 sides and 14 diagonals
