Given the OA, I believe that the problem is intended to read as follows:
pgtc2009 wrote:In ∆ABC, if AB=a, BC=a+0.5, and AC=b, which of the three angles of ∆ABC has the greatest degree measure?
(1)b=a+1.5
(2)a=0.5
The greatest angle is opposite the longest side.
Question stem, rephrased:
Which side of ∆ABC is the longest?
Statement 1: b = a + 1.5
Resulting lengths:
AB = a.
BC = a + 0.5.
AC = b = a + 1.5.
Thus, AC is the longest side.
SUFFICIENT.
Statement 2: a = 0.5
Thus:
AB = a = 0.5.
BC = a + 0.5 = 0.5 + 0.5 = 1.
If b = 2, then AC = 2, with the result that AC is the longest side.
If b = 0.75, then AC = 0.75, with the result that BC is the longest side.
Since different sides can be the longest, INSUFFICIENT.
The correct answer is
A.
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