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29 Apr 2020
An Ancient Chinese Problem This problem is taken from a Chinese mathematics textbook called Chui-chang suan-shu, or Nine Chapters on the Mathematical Art, which was written about 250 B.C. A 10-ft.-long stem of bamboo is broken in such a way that its tip touches the ground 3 ft. from the base of the stem, as shown in the figure. What is the height of the break? [Hint: Use the Pythagorean Theorem.]
An Ancient Chinese Problem This problem is taken from a Chinese mathematics textbook called Chui-chang suan-shu, or Nine Chapters on the Mathematical Art, which was written about 250 B.C. A 10-ft.-long stem of bamboo is broken in such a way that its tip touches the ground 3 ft. from the base of the stem, as shown in the figure. What is the height of the break? [Hint: Use the Pythagorean Theorem.]