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Arlecino [84]
1 year ago
8

Find the length of the third side. If necessary, write in simplest radical form.DV895

Mathematics
1 answer:
arlik [135]1 year ago
8 0

In order to solve the missing side for a right triangle, we can use the Pythagorean theorem

a^2+b^2=c^2

then, we rewrite the expression for on of the sides different from the hypotenuse

\begin{gathered} a^2=c^2-b^2 \\ a=\sqrt[]{c^2-b^2} \end{gathered}

replace with the values

\begin{gathered} a=\sqrt[]{(\sqrt[]{89})^2-5^2} \\ a=\sqrt[]{89-25} \\ a=\sqrt[]{64} \\ a=8 \end{gathered}

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