208k views
4 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 Rocherlee
by
5.9k points

1 Answer

3 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 Cfnerd
by
5.4k points