## Related questions with answers

Question

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 $3 \mathrm{ft}$ from the base of the stem, as shown in the figure. What is the height of the break? [Hint: Use the Pythagorean Theorem.]

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3We first make a sketch.

We know that $a+b=10$ so $a=10-b$.

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