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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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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. But because group chats and the channel features are not end-to-end encrypted, Galperin said user privacy is potentially under threat. In a message on his Telegram channel recently recounting the episode, Durov wrote: "I lost my company and my home, but would do it again – without hesitation." Telegram boasts 500 million users, who share information individually and in groups in relative security. But Telegram's use as a one-way broadcast channel — which followers can join but not reply to — means content from inauthentic accounts can easily reach large, captive and eager audiences. In addition, Telegram now supports the use of third-party streaming tools like OBS Studio and XSplit to broadcast live video, allowing users to add overlays and multi-screen layouts for a more professional look.
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