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When the triangle is obtuse.

Q: When does the circumcenter of a triangle fall outside of the triangle?

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A triangle with one angle bigger than 90 degrees will have its circumscribing circle's centre outside that triangle.

always

true

Yes, it can.

The circumcentre is outside the triangle - next to the longest line.

Related questions

It will, if the triangle is obtuse.

both

orthocenter and circumcenter

A triangle with one angle bigger than 90 degrees will have its circumscribing circle's centre outside that triangle.

The circumcenter can be inside or outside the triangle.

true

always

Yes, it can.

The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.

No, both of them don't.

Yes, it is.

The circumcentre is outside the triangle - next to the longest line.