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# Triangles with rational area

Started by bonanova, Jul 20 2014 12:50 PM

2 replies to this topic

### #1

Posted 20 July 2014 - 12:50 PM

A triangle has side lengths * a*,

*and*

**b***. We are told that its area is rational.*

**c**Which of the following can we conclude about its sides?

- All three sides are rational
- Two of the sides are rational, the third is not.
- One side is rational, the other two are not.
- None of the sides is rational.
- All of the above are possible.

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #2

Posted 20 July 2014 - 06:10 PM Best Answer

Spoiler for

### #3

Posted 20 July 2014 - 06:16 PM

I`ll go with the 5th. option.

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