document.write( "Question 1124892: One side of a triangle is one-third the longest side. The third side is 13 feet less than the longest side. The perimeter is 85. Find all three sides. \n" ); document.write( "
Algebra.Com's Answer #741187 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "let's sides be \"a\",\"b\", and \"c\" where \"c\" is longest\r
\n" ); document.write( "\n" ); document.write( "if one side of a triangle is \"one-third\" the longest side, we have\r
\n" ); document.write( "\n" ); document.write( "\"a=c%2F3\"....eq.1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if the third side is \"13\" feet less than the longest side, we have\r
\n" ); document.write( "\n" ); document.write( "\"b=c-13\".......eq.2\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "if the perimeter is \"85\", we have\r
\n" ); document.write( "\n" ); document.write( "\"a%2Bb%2Bc=85\"....eq.3 .............substitute \"a\" and \"b\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"c%2F3%2Bc-13%2Bc=85\"...solve for \"c\"\r
\n" ); document.write( "\n" ); document.write( "\"c%2B3c-13%2A3%2B3c=85%2A3\"\r
\n" ); document.write( "\n" ); document.write( "\"7c-39=255\"\r
\n" ); document.write( "\n" ); document.write( "\"7c=255%2B39\"\r
\n" ); document.write( "\n" ); document.write( "\"7c=294\"\r
\n" ); document.write( "\n" ); document.write( "\"c=294%2F7\"\r
\n" ); document.write( "\n" ); document.write( "\"c=42\"\r
\n" ); document.write( "\n" ); document.write( "now find \"a\" and \"b\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"a=c%2F3\"->\"a=42%2F3\"->\"a=14\"\r
\n" ); document.write( "\n" ); document.write( "\"b=c-13\"->\"b=42-13\"->\"b=29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, your sides are: \"highlight%28a=14%29\",\"highlight%28b=29%29\", and \"highlight%28c=42%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check the perimeter:\r
\n" ); document.write( "\n" ); document.write( "\"a%2Bb%2Bc=85\"\r
\n" ); document.write( "\n" ); document.write( "\"14%2B29%2B42=85\"\r
\n" ); document.write( "\n" ); document.write( "\"85=85\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );