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43 votes
43 votes
Describe the error in writing an equation for the given diagram.X ХхzywV2 = w•(w+ v)The length z should be the geometric mean of the lengths of the two segments of thehypotenuse, w and v.The length z should be the geometric mean of the lengths of the hypotenuse, (w + v), andthe altitude, y.The length z should be the geometric mean of the lengths of the hypotenuse, (w + v), andthe segment of the hypotenuse that is adjacent to the leg with length 2, which is 2.The length z should be the geometric mean of the lengths of the hypotenuse, (w + v), andthe segment of the hypotenuse that is adjacent to the leg with length z, which is v.Correct the error.

User Matchu
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1 Answer

18 votes
18 votes

The correct answer is the third choice.

It's the only possible answer. They are using the Pythagorean theorem to solve this problem.

The hypotenuse is w + v

The long leg is x

The answer must be like this:


\text{ z}^2=(w+v)^2-x^2

User Sergey Khmelevskoy
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2.7k points