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When will the circumcenter lie be inside the triangle?
The circumcenter of a triangle will lie inside the triangle if the triangle is acute, meaning all its angles are less than 90 degrees. In this case, the perpendicular bisectors of the triangle's sides intersect at a point that is located within the triangle. Conversely, if the triangle is obtuse (one angle greater than 90 degrees), the circumcenter will lie outside the triangle. For right triangles, the circumcenter lies at the midpoint of the hypotenuse.
When does the circumcenter of a triangle fall outside of the triangle?
When the triangle is obtuse.
The circumcenter of a obtuse triangle falls outside of its triangle?
always
Circumcenter of a triangle always falls outside the triangle?
true
Where is the circumcenter of an obtuse triangle?
The circumcentre is outside the triangle - next to the longest line.
When will the circumcenter lie be inside the triangle?
The circumcenter of a triangle will lie inside the triangle if the triangle is acute, meaning all its angles are less than 90 degrees. In this case, the perpendicular bisectors of the triangle's sides intersect at a point that is located within the triangle. Conversely, if the triangle is obtuse (one angle greater than 90 degrees), the circumcenter will lie outside the triangle. For right triangles, the circumcenter lies at the midpoint of the hypotenuse.
Does a circumcenter stay inside the triangle at all times?
The circumcenter can be inside or outside the triangle.
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.
The circumcenter of a obtuse triangle falls outside of its triangle?
always
Circumcenter of a triangle always falls outside the triangle?
true
The circumcenter of a triangle is the center of the circle inscribed in the triangle?
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
Is the circumcenter of an obtuse triangle always outside of it?
Yes, it is.
Does orthocenter and circumcenter fall outside of a triangle?
both
Where is the circumcenter of an obtuse triangle?
The circumcentre is outside the triangle - next to the longest line.
Which of the following may fall outside a triangle?
orthocenter and circumcenter
What are properties of the circumcenter of a triangle?
When a circle is drawn around a triangle touching each of its 3 vertices the circumcenter of the triangle is found by drawing 3 perpendicular lines at the midpoint of each of its sides and where these lines intersect within the triangle is its circumcenter.Apex: A. The circumcenter is equidistant from each vertex of the triangle. B. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides. C. The circumcenter of an obtuse triangle is always outside it.
