Consider the case of? A and? B of lengths 5 and 12, respectively, with m∠? = 0°.

a. Is? BC a triangle?

b. What is the easiest method to find the distance between? and?

c. Can you use the law of cosines to find the distance between? and? If so, perform the calculations. If not,

show why not.

d. Summarize what you have learned in parts (a) through (c).

Commuters in London have the problem that buses are often already full and, therefore, cannot take any further

passengers. Sarah is heading home from work. She has the choice of going to Bus Stop A, where there are three

buses per hour and 30% of the buses are full, or Bus Stop B, where there are four buses per hour and 40% of the

buses are full. Which stop should she choose in order to maximize the probability that she will be able to get on a

bus within the next hour? (Hint: Calculate the probability, for each bus stop, that she will fail to get on a bus within

the next hour. You may assume that the buses are full, or not, independently of each other.)