Generating scalene Heron triangles — Part 2

 
Heron scalene triangles can be constructed from either combining two Pythagorean triangles or by subtracting two Pythagorean triangles.

 
I provided a method in Generating scalene Heron triangles — Part 1
 
Now, let’s construct Heron scalene triangles by subtracting two Pythagorean triangles.

 
HERON SCALENE 2

AB = c

Here are all scalene Heron triangles when the shortest leg is   \leq \; 50
 

HERON SCALENE 3
HERON SCALENE 4
HERON SCALENE 5

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

3 Responses to Generating scalene Heron triangles — Part 2

  1. paul says:

    There are also the indecomposable herons that have rational heights for example the {25, 34, 39, 420} triangle {a, b, c, area}. So I do think your statement that all triangles can be constructed above is a bit misleading.
    P.

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