arabella wrote:
What is the greatest possible area of a triangular region with one side that corresponds with the diameter of a circle with radius 6, and the other vertex of the triangle on the circle?
(A) 24
(B) 36
(C) 40
(D) 48
(E) 72
One side of this triangle, its base, IS the diameter. Hence it is a right triangle inscribed in a semicircle, no matter where the third vertex is placed on the circle.
For any right triangle, isoceles right triangle has the maximum area. Maximum area is achieved with maximum
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