document.write( "Question 83797: The perimeter of an isosceles triangle is 37 in. The lengths of the two equal legs are 6 in. less than 3 times the length of the base. Find the lengths of the three sides. \n" ); document.write( "

Algebra.Com's Answer #60283 by ptaylor(2198) $\"\"$ $\"About$

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\n" ); document.write( "Let x=length of base
\n" ); document.write( "And 3x=three times the length of the base\r
\n" ); document.write( "\n" ); document.write( "Then each of the two equal sides=3x-6\r
\n" ); document.write( "\n" ); document.write( "Now we are told that the perimeter (distance around the triangle)=37 in, so our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "x+(3x-6)+(3x-6)=37 get rid of parens\r
\n" ); document.write( "\n" ); document.write( "x+3x-6+3x-6=37 simplify\r
\n" ); document.write( "\n" ); document.write( "7x-12=37 add 12 to both sides\r
\n" ); document.write( "\n" ); document.write( "7x-12+12=37+12 collect like terms\r
\n" ); document.write( "\n" ); document.write( "7x=49 divide both sides by 7\r
\n" ); document.write( "\n" ); document.write( "x=7 in --------------------------------length of base\r
\n" ); document.write( "\n" ); document.write( "3x-6=3*7-6=15 in ---------------------length of each of the two equal sides\r
\n" ); document.write( "\n" ); document.write( "CK\r
\n" ); document.write( "\n" ); document.write( "15+15+7=37
\n" ); document.write( "37=37\r
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( "

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