2 years ago

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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