Question

I can give you a full picture if you need it

Answer 1

`\begin{gathered} 20^2=13^2+b^2 \\ b\approx15.2ft \end{gathered}`

Step-by-step explanation

To find the length of the missing side, we have to apply the Pythagoras theorem:

`hyp^2=a^2+b^2`

where

hyp = hypotenuse of the triangle

a and b are the length of the legs of the triangle

From the question:

`\begin{gathered} \text{hyp}=20ft \\ a=13ft \end{gathered}`

Therefore, we have that:

`20^2=13^2+b^2`

That is the equation that can be used to find the length of the missing side.

To find b, collect like terms and simplify:

`\begin{gathered} 400=169+b^2 \\ b^2=400-169 \\ b^2=231 \\ \Rightarrow b=\sqrt[]{231} \\ b\approx15.2ft \end{gathered}`

That is the length of the missing side to the nearest tenth.