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Suppose a polygon has n vertices (and sides). From each vertex, a diagonal can be drawn to all vertices, excluding itself and the two adjacent vertices. So n-3 diagonals can be drawn from each vertex. Multiplying by the full complement of n vertices gives n(n-3). However, as things stand we have counted each diagonal twice: once at both ends. Dividing by two gives the actual number of diagonals. number of diagonals = n(n-3)/2

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Q: How do you find diagonals in a polygon?
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Related questions

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.


What is the name of a regular polygon that has 95 diagonals?

There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.


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


104 diagonals polygon?

A polygon that has 104 diagonals will have 16 sides


How many diagonals does a 30 sided polygon have?

The formula used to find the number of diagonals in a polygon is n(n-3)/2. 30 x 27/2 = 810/2 = 405 diagonals.


How many diagonals does a polygon with 3 sides have?

That polygon is called a "triangle". It has no 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 in a 15 sided polygon?

There are 90 diagonals in a 15-sided polygon.


How many diagonals does an 11-sided polygon have?

An 11 sided polygon has 44 diagonals.


How many diagonals does a four-sided polygon have?

A four-sided polygon has two diagonals.


WHAT IS THE ANSWER TOD12N(N-3) GIVES THE NUMBER OF DIAGONALS d FOR A POLYGON WITH N SIDES.. use THIS EQUATION TO FIND THE NUMBER OF DIAGONALS FOR POLYGON THAT HAS 13 SIDES .SOLVE?

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