THE CORRECT ANSWER IS (C). YOU CAN DETERMINE THE AREA OF THE SEMIC...

10. The correct answer is (C). You can determine the area of the semicircle in any

event—without either statement (1) or (2). So you need more information only to

determine the triangle’s area. Given statement (1) alone, the triangle could be any

shape, so its area could vary. Given statement (2) alone, AB and BC each could be any

length, and so the area of the triangle could vary. Thus, neither statement alone suffices

to answer the question. Given both statements together, the triangle must be

equilateral, and you can determine its area. (Although you don’t need to do the math,

the semicircle’s area is p