A triangle has one side of length 29 units and another of length 40 units. Determine the range in which the length of the third side must lie.
A. -11< x < 69
B. 11≤ x ≤ 69
C. 11< x < 69
D. -11≤ x ≤ 69
The answer is C.
Sum of two sides of a triangle is greater than third side
29 + 40 > x where x=length of the third side
Diffrence of two sides < length of third side
40 - 29 < x
29 + 40 > x > 40 - 29
69 > x > 11 or 11 < x < 69