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

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Intern
Joined: 07 Dec 2016
Posts: 45
In a polygon, a diagonal is defined as the line that [#permalink]

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12 Apr 2017, 05:46
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Difficulty:

45% (medium)

Question Stats:

55% (01:01) correct 45% (01:09) wrong based on 47 sessions

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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
[Reveal] Spoiler: OA

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Joined: 02 Sep 2009
Posts: 43867
Re: In a polygon, a diagonal is defined as the line that [#permalink]

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12 Apr 2017, 06:03
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Re: In a polygon, a diagonal is defined as the line that [#permalink]

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12 Apr 2017, 07:48
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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, 07:48
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