# SOLUTION: 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 o

Algebra ->  Algebra  -> Pythagorean-theorem -> SOLUTION: 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 o      Log On

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 Geometry: Pythagorean theorem Solvers Lessons Answers archive Quiz In Depth

 Question 98575This question is from textbook College Algerbra : 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 t = 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.)This question is from textbook College Algerbra Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!WHAT YOU HAVE IS A RIGHT TRIANGLE WITH A BASE=3, HEIGHT=X & HYPOTENUSE=(10-X) 3^3+X^2=(10-X)^2 9+X^2=100-20X+X^2 CANCEL OUT THE X^2 TERMS 9-100=-20X -91=-20X X=-91/-20 X=4.55 FEET ABOVE GROUND IS WHERE THE BAMBOO STEM IS BROKEN. PROOF 3^2*4.55^2=(10-4.55)^2 9+20.70=5.45^2 29.70=29.70