Question

use the pythagorean theorem to find the missing side. then round to the nearest tenth.b = 27 c = 42

Answer 1

Remember that the pythagorean theorem says that:

`a^2+b^2=c^2`

Clearing a:

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

Using the data given,

`\begin{gathered} a=\sqrt[]{42^2-27^2} \\ \Rightarrow a=32.2 \end{gathered}`

Therefore, a = 32.2