Geometry · Squares on the sides of a triangle · Parallelograms · Congruent triangles · Angle chasing · Rotations · Vectors
Squares \(BCDE\), \(ACFG\) and \(BAHK\) are erected outwards on the sides of a triangle \(ABC\). After that, the parallelograms \(BKPE\) and \(CDQF\) are drawn. Prove that the triangle \(PAQ\) is right angled and isosceles.
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Serbian Regional Competition (Okruzno takmicenje) 1996, high school grade I, problem 4. The 1996 regional paper was not split into categories. Organized by the Mathematical Society of Serbia (DMS). Source