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Ilya [14]
3 years ago
5

If you want to put a 4x8 piece of plywood through a 3-foot square opening in your ceiling by turning it diagonally, is the openi

ng big enough? Use 45-45-90 triangle since it is a square
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
6 0

The first step is to calculate the length of the diagonal of the square opening.

The length of a diagonal of square = \sqrt{2} * side

Given side = 3 feet

Length of the square hole = \sqrt{2} *3 = 4.24 feet

since the diagonal is 4.24 feet and the shorter side of the plywood piece is only 4 feet, we can slide it through the square hole diagonally

Answer is YES since the diagonal 4.24 feet is greater than the shorter side of the plywood piece *4 feet

Black_prince [1.1K]3 years ago
3 0
THe diagonal of the 3*3 square = 3* sqrt2 = 4.24 feet   so the answer is Yes.
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