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Appropriate Area (Posted on 2007-03-21) Difficulty: 3 of 5
Consider a triangle with sides of length 5, 6, 7. If you square the area of that triangle, you get 216, a perfect cube.

Are there other triangles (not geometrically similar to the first triangle) with integral sides whose area squared is a perfect cube? Find one such triangle, or prove no others exist.

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  Subject Author Date
Some ThoughtsPuzzle Thoughts K Sengupta2023-03-16 02:32:42
re: SolutionBrian Smith2007-03-22 14:01:04
SolutionSolutionBractals2007-03-21 21:17:25
Solutioncomputer listCharlie2007-03-21 15:57:32
SolutionSolutionDej Mar2007-03-21 14:10:15
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