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Простая, но тем не менее довольно красивая задача.

Даны треугольник ABC и произвольная точка P. Пусть Ha, Hb, Hc – ортоцентры треугольников BPC, APC, APB соответственно.
(!) Площади треугольников ABC и HaHbHc равны.



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Простая, но тем не менее довольно красивая задача.

Даны треугольник ABC и произвольная точка P. Пусть Ha, Hb, Hc – ортоцентры треугольников BPC, APC, APB соответственно.
(!) Площади треугольников ABC и HaHbHc равны.

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