FULLANDPOINT Telegram 249
#геом_разминка

Задача. В остроугольном треугольнике 𝐴𝐵𝐶 проведены высоты 𝐵𝐷 и 𝐶𝐸. Пусть 𝐹 и 𝐺 — точки на прямой 𝐸𝐷 такие, что 𝐵𝐹 ⊥ 𝐸𝐷 и 𝐶𝐺 ⊥ 𝐸𝐷. Докажите, что 𝐸𝐹 = 𝐷𝐺.



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#геом_разминка

Задача. В остроугольном треугольнике 𝐴𝐵𝐶 проведены высоты 𝐵𝐷 и 𝐶𝐸. Пусть 𝐹 и 𝐺 — точки на прямой 𝐸𝐷 такие, что 𝐵𝐹 ⊥ 𝐸𝐷 и 𝐶𝐺 ⊥ 𝐸𝐷. Докажите, что 𝐸𝐹 = 𝐷𝐺.

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