What is the measure of z? 3 27 y x z

Elyase asked Jan 22, 2023

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Elyase asked Jan 22, 2023

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10 votes

Answer:
3√(10)

Explanation:

By the geometric mean theorem,

$(y)/(3)=(27)/(y)\\y^(2)=81\\y=9$

So, by the Pythagorean theorem,

$3^(2)+9^(2)=z^(2)\\90=z^(2)\\z=\boxed{3√(10)}$

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