Question

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.1210X

Answer 1

Let's begin by listing out the information given to us:

$\begin{gathered} c=12 \\ a=10 \\ b=x \end{gathered}$

We will use Pythagoras theorem to solve as shown below:

$\begin{gathered} c^2=a^2+b^2 \\ 12^2=10^2+x^2 \\ 144=100+x^2 \\ 144-100=x^2 \\ 44=x^2\Rightarrow x^2=44 \\ x=\sqrt[]{44}=6.63 \\ x=6.63 \end{gathered}$