Peppa is putting up a fence in his backyard to enclose a garden in a form of a triangle. the gardeners are already has sides and clothes with 8 ft and 5 ft of fence , respectfully. what can you say about the length of the third side?
Let
x -----> the length of the third side
Remember that
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side
so
Applying the theorem
we have
8+5 > x
13> x ------> x< 13 ft
and
5+x>8
x>8-5
x>3 ft
the length of the third side is the interval (3,13)
therefore
the answer is option A