bonanova Posted July 20, 2014 Report Share Posted July 20, 2014 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? 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. Quote Link to comment Share on other sites More sharing options...
0 witzar Posted July 20, 2014 Report Share Posted July 20, 2014 5. All of the above are possible. Here is how: 1. Pythagorean traingle with sides 3, 4, 5. 2. A triangle formed by three verices of a unit square. 3. Two triagles as above glued along short side. 4. Equilateral triangle with unit area. Quote Link to comment Share on other sites More sharing options...
0 wolfgang Posted July 20, 2014 Report Share Posted July 20, 2014 I`ll go with the 5th. option. Quote Link to comment Share on other sites More sharing options...
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bonanova
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?
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