In triangle ABC, the circumcenter and orthocenter are collinear with vertex A. Which of the following statements must be true?
(1) must be an isosceles triangle.
(2) must be an equilateral triangle.
(3) must be a right triangle.
(4) must be an isosceles right triangle.
If none of them are true, say none.
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Which vertex ???
I think that (2) is the true statement.......
The circumcenter is where the perpedicular bisectors meet
The orthocenter is where the altiudes intersect
In an equilateral triangle, these are the same from any vertex