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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.

Enter your answer as a comma-separated list. If there is no correct option, write "none".

 Nov 2, 2020
edited by Guest  Nov 2, 2020
 #1
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Statements (3) and (4) must be true.

 Nov 2, 2020

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