document.write( "Question 1055337: The general formula for Pythagorean triples is $\"+a=m%5E2+-+n%5E2+\"$ , $\"+b=2mn+\"$ , and $\"+c=m%5E2+%2B+n%5E2+\"$ for integers m and n. Use the formula to find all the primitive Pythagorean triples containing 24 as one number. \n" ); document.write( "

Algebra.Com's Answer #802568 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "The general formula for Pythagorean triples is $\"+a=m%5E2+-+n%5E2+\"$ , $\"+b=2mn+\"$ , and $\"+c=m%5E2+%2B+n%5E2+\"$ for integers m and n.
\n" ); document.write( "Use the formula to find all the primitive Pythagorean triples containing 24 as one number.
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document.write( "24 = 2mn ----> mn = 24/2 = 12  ----> \r\n" );
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document.write( "     (m,n) = (1,12)  gives the Pythagorean triple  (24,143,145).\r\n" );
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document.write( "     (m,n) = (3,4)   gives the Pythagorean triple  (7,24,25).\r\n" );
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document.write( "There no other primitive Pythagoren triples.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, answered and explained.\r
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\n" ); document.write( "\n" ); document.write( "See also this web-page\r
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\n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Pythagorean_triple\r
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