# A rectangle piece of plywood 3 ft x 4 ft is cut from one corner to the opposite corner. What are the angles between the edges of the pieces?

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- PuzzlingLv 75 months agoFavourite answer
First, use the Pythagorean Theorem (or your memorization of common Pythagorean Triples) to figure out the length of the diagonal.

3² + 4² = c²

9 + 16 = c²

25 = c²

c = √25

c = 5

So the diagonal is 5 feet.

Now draw your right triangle with sides of 3-4-5.

Let α be the angle opposite side 3.

Let β be the angle opposite side 4.

Using your trigonometric ratios:

sin(angle) = opposite / hypotenuse

sin(α) = 3/5

α = arcsin(3/5)

α ≈ 36.87°

sin(β) = 4/5

β = arcsin(4/5)

β ≈ 53.13°

- billrussell42Lv 75 months ago
not clear what you are asking. Certainly all the angles of a rectangle are 90º

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