Is there a non-right triangle which corresponding circumcenter is lying

Emmy Knox

Emmy Knox

Answered question

2022-06-20

Is there a non-right triangle which corresponding circumcenter is lying on one of its sides?

Answer & Explanation

nuvolor8

nuvolor8

Beginner2022-06-21Added 32 answers

No, the side with the circumcenter would be a diameter of the circle. Then the third vertex of the triangle (the one that isn't an endpoint of the diameter) would necessarily be a right angle, to subtend an arc of 180 degrees.
Kassandra Ross

Kassandra Ross

Beginner2022-06-22Added 6 answers

Circumcenter location can be used to classify triangles. If it is on a side, the triangle has a right angle. If it is outside the triangle, the triangle has an obtuse angle. If it is inside the triangle, the triangle has all acute angles

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