<PRE><B>Question 1055337</B>
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The general formula for Pythagorean triples is {{{ a=m^2 - n^2 }}}, {{{ b=2mn }}}, and {{{ c=m^2 + n^2 }}} for integers m and n. 
Use the formula to find all the primitive Pythagorean triples containing 24 as one number.
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&lt;pre&gt;
24 = 2mn ----&gt; mn = 24/2 = 12  ----&gt; 


     (m,n) = (1,12)  gives the Pythagorean triple  (24,143,145).


     (m,n) = (3,4)   gives the Pythagorean triple  (7,24,25).


There no other primitive Pythagoren triples.
&lt;/pre&gt;


Solved, answered and explained.


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See also this web-page


https://en.wikipedia.org/wiki/Pythagorean_triple



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