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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)  must be an isosceles triangle.
(2)  must be an equilateral triangle.
(3)  must be a right triangle.
(4)  must be an isosceles right triangle.

 Nov 7, 2019
 #1
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+1

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

 Nov 7, 2019
 #2
avatar+212 
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(3) is not the only correct answer, there is more than one.

 Nov 7, 2019
 #3
avatar+135 
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2 and 3.

 Nov 7, 2019
 #4
avatar+212 
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The answer was actually none of the above, which makes sense if you draw it out.

 Nov 7, 2019
 #5
avatar+2499 
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...but there was no answer choice...

 

eh, it makes sense.

CalculatorUser  Nov 7, 2019

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