Question

Find the length of the third side. If necessary, write in simplest radical form. 10 Answer Submit Answer

Answer 1

To find a missing side in a right triangle you use the Pythagoras theorem:

`h^2=(l_1)^2+(l_2)^2`

You have:

h=10

l1=9

`\begin{gathered} 10^2=9^2+(l_2)^2 \\ 100=81+(l_2)^2 \\ 100-81=(l_2)^2 \\ 19=(l_2)^2 \\ \sqrt[]{19}=l_2 \\ \end{gathered}`Then, the missig side length is square root of 19