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Yakvenalex [24]
2 years ago
15

Z 1 t = [?]√ X = Z 16

Mathematics
1 answer:
LiRa [457]2 years ago
3 0

Answer: 8\sqrt{5}

Step-by-step explanation:

By the geometric mean theorem,

\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8

So, by the Pythagorean theorem,

8^2 + 16^2 = x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}

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