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

What is the measure of z? 3 27 y x z-example-1
User Narendra Parmar
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4.4k points

1 Answer

4 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)}

What is the measure of z? 3 27 y x z-example-1
User Imihaly
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