document.write( "Question 1075003: In a right triangle, one leg is 7 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer leg. Find the length of the sides of the triangle. \n" ); document.write( "

Algebra.Com's Answer #689688 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "Your equation is Pythagorean\r\n" );
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document.write( " = .\r\n" );
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document.write( "Simplify and solve for x:\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( "Factor left side:\r\n" );
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document.write( "(x-3)*(x-15) = 0.\r\n" );
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document.write( "The root x = 15 is appropriate.\r\n" );
document.write( "The root x = 3 is EXTRANEOUS solution, since x-7 is negative in this case.\r\n" );
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document.write( "The sides of the triangle are 15, x-7 = 8  and  x+2 = 17.\r\n" );
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document.write( "Answer. The sides are 8, 15 and 17.\r\n" );
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document.write( "Check.   =  = .  Correct !\r\n" );
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