document.write( "Question 1183406: The lengths of the sides of a triangle in inches are three consecutive integers. The length of the shortest side is 25% of the perimeter. What is the length of the longest side? \n" ); document.write( "

Algebra.Com's Answer #813712 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "The lengths of the sides of a triangle in inches are three consecutive integers.
\n" ); document.write( "The length of the shortest side is 25% of the perimeter.
\n" ); document.write( "What is the length of the longest side?
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document.write( "Let the side lengths be  (n-1), n and (n+1)  inches.\r\n" );
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document.write( "Then the perimeter is  (n-1) + n + (n+1) = 3n  inches.\r\n" );
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document.write( "From the description, we have this equation\r\n" );
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document.write( "    n-1 =   inches.\r\n" );
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document.write( "Multiply both sides by 4, simplify and solve\r\n" );
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document.write( "    4n - 4 = 3n\r\n" );
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document.write( "    4n - 3n = 4\r\n" );
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document.write( "       n    = 4.\r\n" );
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document.write( "The triangle sides are of the length 3, 4 and 5 inches.      \r\n" );
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document.write( "The longest side is 5 inches.                              ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "It is a classic (3,4,5) right angled triangle.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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