Primitive Heron triangles – two sides have the common factor 5

 
 

The primitive Heron triangle   (45, 296, 325)   in which two sides have the common factor 5.

area   =   5328
perimeter   =   666

 

Note that 325 is precisely the length of the hypotenuses of two primitive Pythagorean triangles :

(  36,   323,   325)
(204,   253,   325)

 
 

Find other primitive Heron triangles in each of which two sides are distinct and have the common factor 5.

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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