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Parallelepiped Chimney

Author(s): 

The cavity of our chimney is an upright parallelepiped, the diagonal of whose base is 60"; and the height of the lower side of the lintel above the plane of the floor is 40".  What is the length of the longest inflexible stick that can be put up this chimney? (Mathematical Correspondent, USA, c. 1805)

Dummy View - NOT TO BE DELETED