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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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Perpetrators of such fraud use various marketing techniques to attract subscribers on their social media channels. You may recall that, back when Facebook started changing WhatsApp’s terms of service, a number of news outlets reported on, and even recommended, switching to Telegram. Pavel Durov even said that users should delete WhatsApp “unless you are cool with all of your photos and messages becoming public one day.” But Telegram can’t be described as a more-secure version of WhatsApp. "And that set off kind of a battle royale for control of the platform that Durov eventually lost," said Nathalie Maréchal of the Washington advocacy group Ranking Digital Rights. He adds: "Telegram has become my primary news source." Also in the latest update is the ability for users to create a unique @username from the Settings page, providing others with an easy way to contact them via Search or their t.me/username link without sharing their phone number.
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