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16-11-2018
Mathematics

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Find the missing length
. Leave your answers in simplest radical form

Find the missing length Leave your answers in simplest radical form class=

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19-11-2018

Use the Pythagorean theorem:

[tex]x^2+8^2=16^2\\\\x^2+64=256\qquad\text{subtract 64 from both sides}\\\\x^2=192\to x=\sqrt{192}\\\\x=\sqrt{64\cdot3}\\\\x=\sqrt{64}\cdot\sqrt3\\\\\boxed{8\sqrt3}[/tex]

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