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D is an inner point of an equilateral triangle ABC satisfying angle ADC = 150°. Prove that the triangle formed by taking the segments AD, BD, CD as its three sides is a right triangle.

D is an inner point of an equilateral triangle ABC satisfying angle ADC = 150°. Prove that the triangle formed by taking the segments AD, BD, CD as its three sides is a right triangle.

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Grade:9

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