document.write( "Question 431612: If the hypotenuse of a right triangle is 8 feet less than 3 times shorter leg and the longer leg is 8 feet more than 2 times the shorter leg, what is the length of all three sides?\r
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document.write( "The answer is one of these:
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document.write( "a) 15ft, 36ft, 39ft
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document.write( "b) 18ft, 44ft, 46ft
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document.write( "c) 20ft, 48ft, 52ft
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document.write( "d) 30ft, 68ft, 82ft \n" );
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Algebra.Com's Answer #299479 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! by Pythagoras ___ x^2 + (2x+8)^2 = (3x-8)^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + 4x^2 + 32x + 64 = 9x^2 - 48x + 64\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = 4x^2 - 80x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = x^2 - 20x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = x(x - 20)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - 20 = 0 ___ x = 20 \n" ); document.write( " |