document.write( "Question 1160194: The diagonal of a rectangle is 73cm long. Determine the dimensions of the rec angle if the width is 7cm longer than the length. solve as a graph
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Algebra.Com's Answer #783411 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The equation is\r\n" );
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document.write( "    x^2 + (x+7)^2 = 73^2.\r\n" );
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document.write( "Instead of formal solving, I look into the table of the Pythagorean triples\r\n" );
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document.write( "https://en.wikipedia.org/wiki/Pythagorean_triple\r\n" );
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document.write( "and I quickly find there the triple  (48,55,73)  with the diagonal of 73, which satisfies all conditions.     ANSWER\r\n" );
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