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Prime Triangle (Posted on 2024-06-02)

Show that there cannot be a triangle in which the 3 sides and the area are all primes.

No Solution Yet Submitted by K Sengupta

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Simpler solution

Comment 2 of 2 |

The area of a Heronian triangle is always a multiple of 6. It cannot be prime.

This can be deduced from various factoring of the formula.

https://en.wikipedia.org/wiki/Heronian_triangle#Properties_of_side_lengths

Posted by Jer on 2024-06-03 15:57:34

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