Answer:
15.19 feet
Step-by-step explanation:
We are given a right angled triangle.
Hypotenuse = 16 feet
Base = 5 feet
Now we are supposed to find the perpendicular of given triangle.
So, we will use Pythagoras theorem.
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]16^2=Perpendicular^2+5^2[/tex]
[tex]256=Perpendicular^2+25[/tex]
[tex]256-25=Perpendicular^2[/tex]
[tex]231=Perpendicular^2[/tex]
[tex]\sqrt{231}=Perpendicular[/tex]
[tex]15.19=Perpendicular[/tex]
Hence the measure of the third side is 15.19 feet.