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In a polygon, a diagonal is defined as the line that

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In a polygon, a diagonal is defined as the line that [#permalink]

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New post 12 Apr 2017, 06:46
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In a polygon, a diagonal is defined as the line that joins the vertex to any other vertex except the two adjacent vertices. How many diagonals does a seven sided polygon have?

A) 49
B) 42
C) 28
D) 21
E) 14

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Re: In a polygon, a diagonal is defined as the line that [#permalink]

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New post 12 Apr 2017, 07:03
amathews wrote:
In a polygon, a diagonal is defined as the line that joins the vertex to any other vertex except the two adjacent vertices. How many diagonals does a seven sided polygon have?

A) 49
B) 42
C) 28
D) 21
E) 14


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Re: In a polygon, a diagonal is defined as the line that [#permalink]

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New post 12 Apr 2017, 08:48
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amathews wrote:
In a polygon, a diagonal is defined as the line that joins the vertex to any other vertex except the two adjacent vertices. How many diagonals does a seven sided polygon have?

A) 49
B) 42
C) 28
D) 21
E) 14


No of diagonals of a Polygon : \(\frac{n(n - 3)}{2}\) ; where n = Number of sides of the polygon.

So, No of diagonals of the 7 sided polygon : \(\frac{7*( 7 - 3 )}{2} = 14\)

Hence, the correct answer must be (E) 14
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Re: In a polygon, a diagonal is defined as the line that   [#permalink] 12 Apr 2017, 08:48
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