Geometry · Area bisection · Median of a triangle · Circular segment · Axis of symmetry · Parallel lines and equal areas · Ruler and compass construction
Problem 4, 2009
The figure below consists of a triangle \(ABC\) together with the circular segment erected on the side \(BC\), on the opposite side of \(BC\) from \(A\).
Construct at least one straight line that divides this figure into two parts of equal area.
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Serbian National Competition (Drzavno takmicenje) 2009, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source