Find the length of the missing side Express your answer in simplest radical form

Kleptine asked Apr 25, 2023

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Kleptine asked Apr 25, 2023

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18 votes

Determine the measure of unknown side by using the pythagoras theorem.

$\begin{gathered} a^2+(10)^2=(18)^2 \\ a^2=324-100 \\ a=\sqrt[]{224} \\ =\sqrt[]{14\cdot4\cdot4} \\ =4\sqrt[]{14} \end{gathered}$

So length of missing side is,

$4\sqrt[]{14}\text{ cm}$

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