document.write( "Question 182999: 10. Tom's uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side? \n" ); document.write( "
Algebra.Com's Answer #137437 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! S=30+L/2 \n" ); document.write( "M=L-2 \n" ); document.write( "S+M+L=378 \n" ); document.write( "(30+L/2)+(L-2)+L=378 \n" ); document.write( "30+L/2+L-2+L=378 \n" ); document.write( "L/2+2L=378-30+2 \n" ); document.write( "2.5L=350 \n" ); document.write( "L=350/2.5 \n" ); document.write( "L=140 YDS. FOR THE LONG SIDE \n" ); document.write( "S=30+140/2 \n" ); document.write( "S=3+70 \n" ); document.write( "S=100 YDS. FOR THE SHORT SIDE. \n" ); document.write( "M=140-2 \n" ); document.write( "M=138 YDS. FOR THE MIDDLE SIDE. \n" ); document.write( "PROOF: \n" ); document.write( "140+138+100=378 \n" ); document.write( "378=378 \n" ); document.write( " \n" ); document.write( " |