document.write( "Question 1062653: The longest side of the triangle is thrice the length of the shortest side.The medium-sized side is 4cm less than the longest side.The perimeter of the triangle is 31cm.how long is the longest side? \n" ); document.write( "
Algebra.Com's Answer #677609 by Theo(13342)\"\" \"About 
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let a = smallest side.
\n" ); document.write( "let b = medium side
\n" ); document.write( "let c = largest side.\r
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\n" ); document.write( "\n" ); document.write( "a + b + c = 31\r
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\n" ); document.write( "\n" ); document.write( "c = 3a
\n" ); document.write( "b = c - 4 = 3a - 4\r
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\n" ); document.write( "\n" ); document.write( "a+ b + c = 31 becomes:\r
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\n" ); document.write( "\n" ); document.write( "a + (3a - 4) + 3a = 31\r
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\n" ); document.write( "\n" ); document.write( "simplify and combine like terms to get:\r
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\n" ); document.write( "\n" ); document.write( "7a - 4 = 31\r
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\n" ); document.write( "\n" ); document.write( "add 4 to both sides to get:\r
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\n" ); document.write( "\n" ); document.write( "7a = 35\r
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\n" ); document.write( "\n" ); document.write( "solve for a to get a = 5\r
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\n" ); document.write( "\n" ); document.write( "you get:\r
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\n" ); document.write( "\n" ); document.write( "a = 5
\n" ); document.write( "c = 15
\n" ); document.write( "b = 11\r
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\n" ); document.write( "\n" ); document.write( "a + b + c = 31\r
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\n" ); document.write( "\n" ); document.write( "solution is:\r
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\n" ); document.write( "\n" ); document.write( "largest side is 15 cm.\r
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