QUESTION: What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?
A. square root 3/4
B. 1/2
C. pi/4
D. 1
E. square root 2
B
Please help explain thanks!
Gmat Prep - Circle/Triangle
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Hi,
one vertex passing through Center indicates that, its a right angle triangle. One of the side of right angle triagle is fixed. ie double of radius.
ie 2.
As per area of triangle 1/2 * Height * Base.
Base = 2.
If we consider maximum height of the Triangle ie Radius, ie height = 1
Hence,
area = 1/2 * Height * Base
area = 1/2 * 2 * 1
area = 1
I think, Correct answer is D.
one vertex passing through Center indicates that, its a right angle triangle. One of the side of right angle triagle is fixed. ie double of radius.
ie 2.
As per area of triangle 1/2 * Height * Base.
Base = 2.
If we consider maximum height of the Triangle ie Radius, ie height = 1
Hence,
area = 1/2 * Height * Base
area = 1/2 * 2 * 1
area = 1
I think, Correct answer is D.
Thanks & Regards,
Shrikant
Shrikant