Answer:
Yes
Step-by-step explanation:
Length of the third side
[tex]180-(72+78)=30\ \text{ft}[/tex]
The hypotenuse is always the longest side of a right triangle.
So, the hypotenuse here is [tex]c=78\ \text{ft}[/tex]
[tex]a=72\ \text{ft},b=30\ \text{ft}[/tex]
[tex]c=\sqrt{a^2+b^2}\\\Rightarrow c=\sqrt{72^2+30^2}\\\Rightarrow c=\sqrt{6084}\\\Rightarrow c=78\ \text{ft}[/tex]
The Pythagoras theorem applies so the fence does form a right triangle.
