document.write( "Question 1146820: A triangular room has three sides with lengths 2x-2, -2x+18 and 7x-27. What is the length of each side if its perimeter is 24 meters? \n" ); document.write( "

Algebra.Com's Answer #768121 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "First, solve the \"perimeter\" equation \r\n" );
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document.write( "    (2x-2) + (-2x+18) + (7x-27) = 24.\r\n" );
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document.write( "    2x - 2x + 7x + (-2 +18 - 27) = 24\r\n" );
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document.write( "    7x - 11 = 24\r\n" );
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document.write( "    7x      = 24 + 11\r\n" );
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document.write( "    7x      = 35\r\n" );
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document.write( "     x      = 35/7 = 5.\r\n" );
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document.write( "Thus the side lengths are  2x-2   = 2*5-2   = 10-2   = 8;\r\n" );
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document.write( "                          -2x+18  = -2*5+18 = -10+18 = 8;\r\n" );
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document.write( "                           7x-27  = 7*5-27  = 35-27  = 8.\r\n" );
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document.write( "Thus you have an equilateral triangle.\r\n" );
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document.write( "The triangle inequalities are held by an OBVIOUS way.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "The sequence of actions that @josgarithmetic proposes in his post is WRONG.\r
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\n" ); document.write( "\n" ); document.write( "You DO NOT NEED check the triangle inequalities BEFORE finding the side lengths.\r
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\n" ); document.write( "\n" ); document.write( "You need check these inequalities AFTER finding the triangle' side lengths.\r
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\n" ); document.write( "\n" ); document.write( "So, for your safety, you better IGNORE the post by @josgarithmetic.\r
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