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#геом_разминка

Задача. Дан выпуклый четырехугольник 𝐴𝐵𝐶𝐷. Известно, что окружности, вписанные в треугольники 𝐴𝐵𝐶 и 𝐴𝐷𝐶 касаются друг друга. Докажите, что окружности, вписанные в треугольники 𝐴𝐵𝐷 и 𝐶𝐷𝐵 также касаются друг друга.

Пусть первые снежные сугробы добавят вам новогоднего настроения ☃️



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#геом_разминка

Задача. Дан выпуклый четырехугольник 𝐴𝐵𝐶𝐷. Известно, что окружности, вписанные в треугольники 𝐴𝐵𝐶 и 𝐴𝐷𝐶 касаются друг друга. Докажите, что окружности, вписанные в треугольники 𝐴𝐵𝐷 и 𝐶𝐷𝐵 также касаются друг друга.

Пусть первые снежные сугробы добавят вам новогоднего настроения ☃️

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