document.write( "Question 645132: An isosceles triangle has two equal sides of equal length. The length of one of the equal sides is two more than 3 times the length of the third side. If the perimeter is 46 m, find the length of each side. \n" ); document.write( "

Algebra.Com's Answer #405381 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
An isosceles triangle has two equal sides of equal length. The length of one of the equal sides is two more than 3 times the length of the third side. If the perimeter is 46 m, find the length of each side.
\n" ); document.write( "

\r\n" );
document.write( "Length of the unequal side = x\r\n" );
document.write( "Length of the first equal side = 3x+2 \r\n" );
document.write( "Length of the second equal side = 3x+2\r\n" );
document.write( "\r\n" );
document.write( "Perimeter =  +  + \r\n" );
document.write( "\r\n" );
document.write( "       46 = x + (3x+2) + (3x+2)\r\n" );
document.write( "\r\n" );
document.write( "Solve that equation and get x=6 for the unequal side and\r\n" );
document.write( "3x+2 = 3(6)+2 = 18+2 = 20\r\n" );
document.write( "\r\n" );
document.write( "So the sides are 6m,20m,20m.\r\n" );
document.write( "\r\n" );
document.write( "Checking: Those add to 46 and 20 is 2 more than 3×6 m, or 18m.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );