Enigma 1708: Pentagon
25 July 2012
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From New Scientist #2875, 28th July 2012 [link]
From a point on one side of a rectangular sheet of paper I drew two straight lines, one of them to a point on one adjacent side and the other to a point on the other adjacent side. My sheet of paper was now divided into two triangles and a pentagon. The lengths of the sides of the triangles were all integers, the lengths of the sides of the pentagon were, in some order, five consecutive integers, each less than 50.
What were the dimensions of the sheet of paper?
Note: It might have been clearer if the puzzle talked about the edges of the sheet of paper, rather than the sides of the corresponding rectangle.