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)\"\" \"About 
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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
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