document.write( "Question 365040: A polygon has 44 diagonals.Number of sides = ? \n" ); document.write( "

Algebra.Com's Answer #260274 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, 
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document.write( "*Note: Polygon with n sides has n(n-3)/2 diagonals. for ex, rectangle has 2 diagonals
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document.write( "polygon with 44 diagonals:
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document.write( "44 = n(n-3)/2
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document.write( "solving for n
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document.write( "n^2-3n -88 = 0
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document.write( "factoring
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document.write( "(n-11)(n+8) = 0
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document.write( "(n+8) = 0
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document.write( "n = -8 cannot use this
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document.write( "(n-11)=0
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document.write( "n = 11
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document.write( "Polygon has 11 sides\r
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document.write( "checking our answer
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document.write( "11*8/2 = 44 diagonals\r
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