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In $\triangle ABC$, the circumcenter and orthocenter are collinear with vertex $A$. Which of the following statements must be true? (1) $\triangle ABC$ must be an isosceles triangle. (2) $\triangle ABC$ must be an equilateral triangle. (3) $\triangle ABC$ must be a right triangle. (4) $\triangle ABC$ must be an isosceles right triangle.

 Nov 5, 2019
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ABC must be a right triangle, so statement (3) must be true.

 Nov 5, 2019

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