To determine the range in which the length of the third side must lie, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the two known sides have lengths of 29 and 40 units. Therefore, the range for the length of the third side (x) can be found by setting up the following inequality:
29 + 40 > x
Simplifying, we have:
69 > x
Therefore, the range for the length of the third side must be x > 11.
The correct answer is:
C.
11 < x < 69
Select the correct answer.
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
1 answer