Official Solution:

In the figure above, if \(x < y < z\), which of the following must be true?

A. \(BC < AB\)

B. \(AC > BC\)

C. \(BC > AB\)

D. \(AC < AB\)

E. None of the above must be true.

We’ll go for LOGICAL because there is a specific logical rule we can use.

We know that in a triangle, the shortest/longest/middle side is opposite the smallest/largest/mid-sized angle, respectively. So, \(BC < AC < AB\). (A) must be true.

Answer: A