perplexus.info :: Geometry : A unique Heronian triangle

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

Find analytically, the Heronian triangle with area 24.

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easy - spoiler

| Comment 1 of 6

The set (3,4,5) defines the sides of the smallest Her. triangle.

Its area is 6.

Doubling its sides we quadruple its area.

So (6,8,10) is your guy.

Posted by Ady TZIDON on 2017-08-05 12:04:11

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