Bunuel wrote:
In ∆ ABC above, if r > s, which of the following must be true?
(A) AB = BC
(B) AB < AC
(C) AB < BC
(D) AB > BC
(E) AB > AC
Recall that in a triangle, the longer side is opposite the larger angle (and vice versa) and the shorter side is opposite the smaller angle (and vice versa). Since r > s, side BC (which is opposite angle r) is longer than side AB (which is opposite angle s). That is, BC > AB, or AB
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