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Shanghai Mathematics 8
8 (1): s triangle ABC=? AC×BC=? ×2. 1×2.8=2.94(cm? )

(2): From Pythagorean Theorem, AB? =AC? +BC? So, AB= AC under the root sign? +BC? Under the root sign = 2. 1? +2.8? =3.5

(3): the intersection point C is CD⊥AB and the vertical foot D.

With the same area of AB×CD=AC×BC, 3.5×CD=2. 1×2.8, CD= 1.68.

10 solution: let the depth of water be x feet and the length of reed be (x+ 1). According to Pythagorean Theorem, X? ( 10/2)? =(x+ 1)?

Solution: x= 12, so x+ 1= 13 (feet).

Answer: water depth 12 feet, reed length 13 feet.