Question

EPythagorean TheoremFor the following right triangle, find the side length x. Round your answer to the nearest hundredth.10ХХ8

Answer 1

Let's identify key information given us:

Using Pythagoras Theorem to solve for x we have:

`\begin{gathered} c^2=x^2+b^2 \\ x^2=c^2-b^2 \\ x=\sqrt[]{c^2-b^2} \\ x=\text{?},b=10,c=17 \\ x=\sqrt[]{17^2-10^2} \\ x=\sqrt[]{289-100} \\ x=\sqrt[]{189}=13.7477\approx13.75 \\ x=13.75 \end{gathered}`