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What else can I help you with?
Which of the following may fall outside a triangle?
orthocenter and circumcenter
How do you find orthocenter?
You find the orthocenter by constructing the altitudes from the vertices in a triangle. If the triangle is obtuse, the orthocenter will fall outside the triangle. If the triangle is acute, the orthocenter will fall on the inside of the triangle. If the triangle is a right triangle, the orthocenter will lie on a vertix.
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.
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.
In which type of triangle does the orthocenter of the triangle fall outside the triangle?
An obtuse angled triangle.
When does a triangles circumcenter fall outside of the triangle?
A triangle with one angle bigger than 90 degrees will have its circumscribing circle's centre outside that triangle.
In which type of triangle does a orthocenter of the triangle fall outside the triangle?
Obtuse triangle! To make this happen the altitude lines have to be extended so they cross.Hope this helps!
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.
