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Pythagorean theorem in 2D and 3D
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Learn it Use the Pythagorean theorem twice for a box: first the floor diagonal, then with the height. Box diagonal $= \sqrt{l^2 + w^2 + h^2}$.
Example: Find the diagonal of a 3 × 4 × 12 box.
- Floor diagonal: $\sqrt{9 + 16} = 5$.
- With height: $\sqrt{25 + 144} = \sqrt{169}$.
- $= 13$.
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