Discussion
Triangle ABC is inscribed in a circle as shown above. What is the radius of the circle?
(1) AB is a diameter of the circle.
(2) AC = 3 and BC = 4.
(A) | if statement (1) ALONE is sufficient to answer the question but statement (2) alone is not sufficient; |
(B) | ... |
(C) | ... |
(D) | ... |
(E) | ... |
(F) | ... |
The solution is
Posted: 03/09/2013 00:33
Why is 2 insufficient? you can apply the theorem with the measure given for the two sides, is it because we cannot assume by the figure that side AB is of course the diamenter?
Posted: 03/12/2013 15:55
Ricardo, yes you are right. We cannot assume AB is a diameter of the circle, because that is given in statement 1.