document.write( "Question 311173: A triangle has integral factors of 8, 13, and n. What is the median of the possible values of n. \n" ); document.write( "
Algebra.Com's Answer #222548 by Edwin McCravy(20065)\"\" \"About 
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A triangle has integral factors of 8, 13, and n. What is the median of the possible values of n.
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document.write( "If any triangle's sides are a,b, and c, then\r\n" );
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document.write( "\"system%28a+%2B+b+%3E+c%2C%0D%0Aa+%2B+c+%3E+b%2C%0D%0Ab+%2B+c+%3E+a%29\"\r\n" );
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document.write( "So\r\n" );
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document.write( "\"system%288+%2B+13+%3E+n%2C%0D%0A8+%2B+n+%3E+13%2C%0D%0A13+%2B+n+%3E+8%29\"\r\n" );
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document.write( "\"system%2821+%3E+n%2C%0D%0An+%3E+5%2C%0D%0An+%3E+-5%29\"\r\n" );
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document.write( "We can ignore the third one, since it is implied by the middle one:\r\n" );
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document.write( "\"system%2821+%3E+n%2C%0D%0An+%3E+5%29\"\r\n" );
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document.write( "That is the same as:\r\n" );
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document.write( "\"5%3Cn%3C21\"\r\n" );
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document.write( "So n can be any of these 15 values (in order) \r\n" );
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document.write( "6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\r\n" );
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document.write( "The median of an odd number of numbers is the one right smack\r\n" );
document.write( "in the middle when they are arranged from smallest to largest,\r\n" );
document.write( "or vice-versa.  That is the number I have colored red, which is 13.\r\n" );
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document.write( "Edwin

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