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## Summary:

- Can one find which triangles (other than right-angled ones) have areas wheich are integers?

## Main Question or Discussion Point

It is pretty obvious that all right-angled triangles whose sides are integers will have areas which are also integers. Since either the base or height will be an even number, half base x height will always come out exactly.

However, I have only found one non-right-angled triangle where this is the case. If the sides are 13, 14 and 15 then (if I've done it right) this gives an area of 84.

Are there any other such triangles with exact integer areas as well as sides, and if so is there any rule for finding them?

However, I have only found one non-right-angled triangle where this is the case. If the sides are 13, 14 and 15 then (if I've done it right) this gives an area of 84.

Are there any other such triangles with exact integer areas as well as sides, and if so is there any rule for finding them?

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