Geometry · Isosceles triangle · Angle bisector · Midline

Problem 4, 2006

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In an isosceles triangle, the bisector of one of the angles at the base is exactly twice as long as the altitude drawn to that base. Determine the angles of the triangle.

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Serbian Municipal Competition 2006, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source