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 Take five (Posted on 2011-05-22)
A triangle is Heronian if all its sides and its area are integers.
Any such rational triangle can be scaled up to a corresponding triangle with integer sides and area, and often the term Heronian triangle is used to refer to the latter.
There are only 5 Heronian triangles (with all sides being integers) whose perimeters numerically are equal to their areas.

You are requested to find all of them.

 See The Solution Submitted by Ady TZIDON Rating: 3.6667 (3 votes)

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 Rest time over Comment 2 of 2 |
1. ( 6,  8, 10)  Area = Perimeter = 24
2. ( 5, 12, 13)  Area = Perimeter = 30
3. ( 9, 10, 17)  Area = Perimeter = 36
4. ( 7, 15, 20)  Area = Perimeter = 42
5. ( 6, 25, 29)  Area = Perimeter = 60

Edited on May 23, 2011, 4:56 pm
 Posted by Dej Mar on 2011-05-22 17:55:57

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