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Puzzles

5 December

How many different isosceles triangles are there whose perimeter is 50 units, and whose area is an integer number of square-units?
(Two triangles that are rotations, reflections and translations of each other are counted as the same triangle. Triangles with an area of 0 should not be counted.)

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23 December

Today's number is the area of the largest area rectangle with perimeter 46 and whose sides are all integer length.

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