Answer:
Explanation:
Answer: The length of the third side is greater than 4 ft and less than 20 ft.
Step-by-step explanation: Given that two sides of a triangle have lengths 8 ft and 12 ft.
We are to describe the possible lengths of the third side.
Let x ft be the length of the third side of the triangle.
We know that
the sum of the lengths of any two sides of a triangle is always greater than the third side.
So, we must have
Also,
and
From inequalities (i), (ii) and (iii), we get
Thus, the length of the third side is greater than 4 ft and less than 20 ft.