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# What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 12 and 10?

Mar 8, 2018

$2 \sqrt{61} \approx 15.62 \text{ to 2 dec. places}$

#### Explanation:

$\text{using "color(blue)"Pythagoras' theorem}$

$\text{if h is the hypotenuse then}$

${h}^{2} = {12}^{2} + {10}^{2}$

$\Rightarrow h = \sqrt{{12}^{2} + {10}^{2}}$

$\textcolor{w h i t e}{\Rightarrow h} = \sqrt{144 + 100}$

$\textcolor{w h i t e}{\Rightarrow h} = \sqrt{244} = 2 \sqrt{61} \approx 15.62$