document.write( "Question 1021940: In a right triangle, the length of the long leg is 2 inches more than twice the length of the short leg. The hypotenuse is 2 inches less than three times the length of the short leg. What is the length of each side of this triangle? \n" ); document.write( "

Algebra.Com's Answer #637788 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "In a right triangle, the length of the long leg is 2 inches more than twice the length of the short leg.
\n" ); document.write( "The hypotenuse is 2 inches less than three times the length of the short leg. What is the length of each side of this triangle?
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document.write( "Let x be the length of the short leg, in inches.\r\n" );
document.write( "Then the length of the long leg is (2x+2).\r\n" );
document.write( "The length of the hypotenuse is (3x-2).\r\n" );
document.write( "You need to solve this equation\r\n" );
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document.write( " = .\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = 0,\r\n" );
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document.write( "the roots are x = 0 and x = 5.\r\n" );
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document.write( "Answer. 5 in, 12 in and 13 in.\r\n" );
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