Heron and his triangle

Geometry Level 4

The triangle with sides 6, 8, 10 satisfy the following properties:

  • All its side lengths are integers.

  • Both its area and its perimeter are equal integers.

Find another triangle with a minimal perimeter that satisfies these properties as well.

Submit your answer as the concatenation of these side lengths in increasing order.

For example, if you think that the side lengths of this other triangle is 10, 11, 12, then submit your answer as the 6-digit integer, 101112.

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