Adiagonal brace is to be placed in the wall of a room. the height of the wall is 6 ft, and the wall is 12 ft long. what is the exact length of the brace?

We know that
Applying the Pythagoras Theorem
c=²=a²+b²
where c is the diagonal of the wall
a=12 ft
b=6 ft
c²=12²+6²> c²=144+36< c²=180> c=√180> c=6√5 ft

the answer is
the exact length of the brace is 6√5 ft