document.write( "Question 1108310: solve for
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Algebra.Com's Answer #723335 by ikleyn(52909) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "From the left right-angled triangle you have this Pythagorean equation\r\n" );
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document.write( "x^2 + h^2 = 6^2.        (1)\r\n" );
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document.write( "From the right right-angled triangle you have this Pythagorean equation\r\n" );
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document.write( "(6-x)^2 + h^2 = 4^2.    (2)\r\n" );
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document.write( "Subtract eq(2) from  eq(1). You will get\r\n" );
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document.write( "x^2 - (6-x)^2 = 36 - 16,\r\n" );
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document.write( "x^2 - 36 + 12x - x^2 = 20,\r\n" );
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document.write( "12x = 20 + 36 = 56.\r\n" );
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document.write( "=======>  x =  = .\r\n" );
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