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Twice Prime (Posted on 2024-06-03)

(A) Prove that a triangle with integer sides cannot have an area that is prime.

(B) Determine a triangle with rational sides whose area and perimeter are both prime.

No Solution Yet Submitted by K Sengupta

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Part A

| Comment 1 of 2

The area of a Heronian triangle is always a multiple of 6.

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

Posted by Jer on 2024-06-03 15:58:31

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