Hey everyone- I am having trouble understanding the answer to this question. Any help would be great, thanks.
For the triangle shown above, where A, B and C are all points on a circle, and line segment AB has length 18, what is the area of triangle ABC?
(1) Angle ABC measures 30°.
(2) The circumference of the circle is 18.
There is a picture and it looks like 18 is the hypotenuse. Since 18 is the hypotenuse, any triangle inscribed with a side of the diameter has to be a right angle. Then, since its 30 degrees, we can find the other 2 sides, so A would be sufficient, but it's C. My question is, is it C because even though on the picture it clearly looks like 18 is the diameter, we can't ASSUME it is, thus we need statement B to prove it? Thanks everyone
For the triangle shown above, where A, B and C are all points on a circle, and line segment AB has length 18, what is the area of triangle ABC?
(1) Angle ABC measures 30°.
(2) The circumference of the circle is 18.
There is a picture and it looks like 18 is the hypotenuse. Since 18 is the hypotenuse, any triangle inscribed with a side of the diameter has to be a right angle. Then, since its 30 degrees, we can find the other 2 sides, so A would be sufficient, but it's C. My question is, is it C because even though on the picture it clearly looks like 18 is the diameter, we can't ASSUME it is, thus we need statement B to prove it? Thanks everyone
