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Cloud moderators

08/12/2017 at 08:43
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n the figure, the segments of lengths x and y lie on perpendiculars to the diagonals of a square of side length 4. The sum x + y can be written in the form \(\sqrt{z}\) . What is the value of z?
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    Nguyễn Hưng Phát 08/12/2017 at 10:02

    Because x+y creates 1 part 2 of a diagonal line of the square so \(x+y=\sqrt{\dfrac{4}{2}}=\sqrt{2}\)

    So x+y=\(\sqrt{z}\Rightarrow\sqrt{2}=\sqrt{z}\Rightarrow z=2\)

    Answer:The value of z is:2

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    Nguyễn Hưng Phát 08/12/2017 at 09:57

    Chúng ta có: x + y =\(\sqrt{\dfrac{4}{2}}=\sqrt{2}\) because x+y creates 1 part 2 of a diagonal line

    So x+y=\(\sqrt{z}\Rightarrow\sqrt{2}=\sqrt{z}\)\(\Rightarrow z=2\)

    Answer:z=2


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