perplexus.info :: Geometry : A unique Heronian triangle

A unique Heronian triangle (Posted on 2017-08-05)

Find analytically, the Heronian triangle with area 24.

No Solution Yet Submitted by Jer

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Problem could have been worded better.

Comment 6 of 6 |

Ady and broll both did great. The problem itself doesn't ask for more.

I should have noted the triangle should be irreducible, but Ady's solution did not occur to me.

I meant to, but didn't imply I was in search of a proof the triangle broll gave is the only irreducible heronian triangle of area 24.

Posted by Jer on 2017-08-06 09:07:13

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