Heronian triangles: Difference between revisions
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Walterpachl (talk | contribs) m →{{header|REXX}}: typo |
m capitalized Heroniam in the task section header. |
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Note that any triangle whose sides are all an integer multiple of 3,4,5; such as 6,8,10, will |
Note that any triangle whose sides are all an integer multiple of 3,4,5; such as 6,8,10, will |
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also be a |
also be a Heronian triangle. |
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Define a '''Primitive Heronian triangle''' as a |
Define a '''Primitive Heronian triangle''' as a Heronian triangle where the greatest common divisor |
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of all three sides is 1. This will exclude, for example triangle 6,8,10 |
of all three sides is 1. This will exclude, for example triangle 6,8,10 |
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'''The task''' is to: |
'''The task''' is to: |
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# Create a named function/method/procedure/... that implements Hero's formula. |
# Create a named function/method/procedure/... that implements Hero's formula. |
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# Use the function to generate all the ''primitive'' |
# Use the function to generate all the ''primitive'' Heronian triangles with sides <= 200. |
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# Show the count of how many triangles are found. |
# Show the count of how many triangles are found. |
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# Order the triangles by first increasing area, then by increasing perimeter, then by increasing maximum side lengths |
# Order the triangles by first increasing area, then by increasing perimeter, then by increasing maximum side lengths |
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