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#геом_разминка

Задача. На сторонах равностороннего треугольника 𝐴𝐵𝐶 отмечены равные отрезки 𝐴₁𝐴₂ = 𝐵₁𝐵₂ = 𝐶₁𝐶₂ так как показано на рисунке. Прямые 𝐴₁𝐶₂, 𝐶₁𝐵₂, 𝐵₁𝐴₂ образуют треугольник 𝑋𝑌𝑍. Докажите, что углы треугольника, составленного из отрезков 𝐴₁𝐶₂, 𝐶₁𝐵₂, 𝐵₁𝐴₂ равны углам треугольника 𝑋𝑌𝑍.

Когда кругом все горит — примите душ и сконцентрируйтесь на главном 🛁



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#геом_разминка

Задача. На сторонах равностороннего треугольника 𝐴𝐵𝐶 отмечены равные отрезки 𝐴₁𝐴₂ = 𝐵₁𝐵₂ = 𝐶₁𝐶₂ так как показано на рисунке. Прямые 𝐴₁𝐶₂, 𝐶₁𝐵₂, 𝐵₁𝐴₂ образуют треугольник 𝑋𝑌𝑍. Докажите, что углы треугольника, составленного из отрезков 𝐴₁𝐶₂, 𝐶₁𝐵₂, 𝐵₁𝐴₂ равны углам треугольника 𝑋𝑌𝑍.

Когда кругом все горит — примите душ и сконцентрируйтесь на главном 🛁

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