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The interior dimensions of a rectangular box with a lid on it are 3 feet by 4 feet by 5 feet. A post in the form of a right circular cylinder 1 foot in diameter just fits diagonally in the box, touching all six inner faces. How long is the post?
In triangle ABC with: BC = 1; angle B=45 degrees; D is on AB such that DC =1; E and H are on segment AC and EH = 1; F is on segment AD such that EF=.5; G is on segment CD; EFGH is a rectangle.
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