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#геом_разминка

Задача. В равнобедренном треугольнике 𝐴𝐵𝐶 (𝐴𝐵 = 𝐴𝐶 < 𝐵𝐶) на сторонах 𝐵𝐶 и 𝐴𝐵 отмечены точки 𝑃 и 𝑄 соответственно так, что 𝑃𝑄 перпендикулярно 𝐴𝐵 и 𝑃𝑄 делит периметр треугольника пополам. Докажите, что 𝐴𝐵 = 𝐵𝑃.

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#геом_разминка

Задача. В равнобедренном треугольнике 𝐴𝐵𝐶 (𝐴𝐵 = 𝐴𝐶 < 𝐵𝐶) на сторонах 𝐵𝐶 и 𝐴𝐵 отмечены точки 𝑃 и 𝑄 соответственно так, что 𝑃𝑄 перпендикулярно 𝐴𝐵 и 𝑃𝑄 делит периметр треугольника пополам. Докажите, что 𝐴𝐵 = 𝐵𝑃.

Желаем вам здоровья 💊

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