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# Triangles with rational area

2 replies to this topic

### #1 bonanova

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Posted 20 July 2014 - 12:50 PM

A triangle has side lengths a, b and c. We are told that its area is rational.

Which of the following can we conclude about its sides?

1. All three sides are rational
2. Two of the sides are rational, the third is not.
3. One side is rational, the other two are not.
4. None of the sides is rational.
5. All of the above are possible.

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Vidi vici veni.

### #2 witzar

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Posted 20 July 2014 - 06:10 PM   Best Answer

Spoiler for

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### #3 wolfgang

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Posted 20 July 2014 - 06:16 PM

I`ll go with the 5th. option.

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