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When does the circumcenter of a triangle fall outside of the triangle?
When the triangle is obtuse.
What kind of triangle is the centroid outside the triangle?
It doesn't ever fall outside of a triangle.
Which may fall outside a triangle?
A point outside the triangle may.
What may fall outside a triangle?
The orthocenter may fall outside of a triangle. The orthocenter usually lies within the inside the triangle. However this is only the case if the triangle is acute.
Does the altitude of a triangle fall outside the triangle?
In an obtuse angled triangle, two of them will.
Can the circumcenter of a triangle fall outside of the triangle?
It will, if the triangle is obtuse.
When does the circumcenter of a triangle fall outside of the triangle?
When the triangle is obtuse.
Does orthocenter and circumcenter fall outside of a triangle?
both
Which of the following may fall outside a triangle?
orthocenter and circumcenter
Does circumcenter and centroid fall out of a triangle?
No, both of them don't.
What will not fall outside a triangle?
Its "incenter" will not fall outside the triangle, or outside the base of the triangle.
What can fall outside a triangle?
Every point in the plane outside the triangle can fall there!
Is the centroid of a triangle always the circumcenter of a triangle?
No way! An easy example is the centroid and circumcenter of a right-angle triangle. Circumcenter will be exactly on the middle of the hypotenuse which obviously cannot be the centroid. Centroid is the point where all three lines are connecting all the three vertices and the middle of the line opposite the respective vertex. Circumcenter is the center of the circle passing through all the vertices. As it is known, a right-angle triangle will always fall within a semicircle, meaning the circle center will always be on the middle of the hypotenuse.
What kind of triangle is the centroid outside the triangle?
It doesn't ever fall outside of a triangle.
Which may fall outside a triangle?
A point outside the triangle may.
What may fall outside a triangle?
The orthocenter may fall outside of a triangle. The orthocenter usually lies within the inside the triangle. However this is only the case if the triangle is acute.
In which type of triangle does the orthocenter of the triangle fall outside the triangle?
An obtuse angled triangle.
