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The brace spans 3-ft horizontally and 3-ft vertically, so it's the hypotenuse of a right triangle with a pair of 3-ft legs.

B2 = 32 + 32 = 9 + 9 = 18

B = 3 sqrt(2) = 4.243 ft (rounded)

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Q: A bookcase is 3 feet high and 3 feet wide Two braces are going to be built to diagonally cross the back of the case How long is the piece of wood that is needed to build each brace?
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