ABC is an equilateral triangle, and point D is the midpoint of side BC. A is also a point on circle with radius

[BTGmoderatorDC]

ABC is an equilateral triangle, and point D is the midpoint of side BC. A is also a point on circle with radius r = 3. What is the area of the triangle?

Statement #1: The line that passes through A and D also passes through the center of the circle.

Statement #2: Including point A, the triangle intersects the circle at exactly four points.


OA C

Source: Magoosh