document.write( "Question 803311: The lengths of the sides of a triangle are consecutive even integers. The perimeter is 22cm shorter than 4 times the length of the largest side. Find the lengths of the three sides, please? \n" ); document.write( "
Algebra.Com's Answer #484350 by rothauserc(4718) You can put this solution on YOUR website! let x be the smallest side, then we can write the sides \n" ); document.write( "x, x+2, x+4 and the perimeter is \n" ); document.write( "x +x+2 +x+4 = 4*(x+4) -22 \n" ); document.write( "3x +6 = 4x+16 -22 \n" ); document.write( "subtract 3x from both sides of the = \n" ); document.write( "6 = x +16 -22 \n" ); document.write( "6 = x -6 \n" ); document.write( "x = 12 \n" ); document.write( "and the three integers are \n" ); document.write( "12, 14, 16 \n" ); document.write( "check the answer \n" ); document.write( "12 +14 +16 = 4*16 -22 \n" ); document.write( "42 = 42 \n" ); document.write( "answer checks\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |