Atriangle 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

C

Step-by-step explanation:

The triangle inequality theorem tells us that if two sides of a triangle are known (let it be side a and b), we can know the length of range of third side (side c). By:

a-b< c < a+b

So sides are given 29 and 40.

Sum is 29 + 40 = 69

Difference is 40 - 29 = 11

Hence, the third side would be BETWEEN 11 and 69

C is the correct choice.

rounding to the nearest thousandth would be 452,000