document.write( "Question 167853: THE PERIMETER OF A TRIANGLE IS 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 #129978 by piyushkumar47(2)![]() ![]() You can put this solution on YOUR website! Let the sides of triangle be ABC. \n" ); document.write( "Let the longest side ie hypotenuse(AB) be x , then \n" ); document.write( "base(CB) will be 30+1x/2 and perpendicular will be x-2. \n" ); document.write( "perimeter of triangle = 378 yards \r \n" ); document.write( "\n" ); document.write( "according to the question \n" ); document.write( "x+ 30+1x/2+x-2= 378 \n" ); document.write( "2x+60+x+2x-4/2 {on taking L.C.M.} \n" ); document.write( "5x+56/2 = 378 \n" ); document.write( "5x+56 = 378*2 \n" ); document.write( "5x = 756-56 \n" ); document.write( "x = 700/5 \n" ); document.write( "x = 140 \n" ); document.write( "Ans. AB = 140 \n" ); document.write( " BC = 100 \n" ); document.write( " Cd = 138 \n" ); document.write( " |