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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.
Is this statement true or falseThe circumcenter of an obtuse triangle lies inside the triangle?
false
What is an orthocentre and where it is located for an obtuse right and a right angled triangles?
On an obtuse triangle the orthocenter is located on the outside of the triangle and the orthocenter of the right triangle is located at the vertex of the triangle ...
When is the orthocenter inside on or outside of the triangle?
Inside: acute angled triangleOn: right angled triangle Outside: obtuse angled triangle.
What statement is always true about an obtuse triangle?
An obtuse triangle has 1 obtuse angle and 2 acute angles which add up to 180 degrees.
The circumcenter of a obtuse triangle falls outside of its triangle?
always
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.
Where is the circumcenter of an obtuse triangle?
The circumcentre is outside the triangle - next to the longest line.
When is the circumcenter of a triangle in the exterior of the triangle?
All triangles with an obtuse angle will have the circumcentre outside the boundary of the triangle.
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.
Is this statement true or falseThe circumcenter of an obtuse triangle lies inside the triangle?
false
What is the name of the point at which all of the triangle's perpendicular bisectors intersect?
Circumcenter, this is the center-point of a circle circumscribed around the triangle. If the triangle is obtuse, then this point is outside the triangle and if the triangle is a right triangle, then the point is the midpoint of the hypotenuse.
Can a triangle be obtuse and acute?
No, because if there is on obtuse angle the triangle will always be obtuse.
Can a triangle be both acute and obtuse?
No, because if there is on obtuse angle the triangle will always be obtuse.
Does an obtuse triangle always have 3 congruent sides?
An obtuse triangle does not always have three congruent sides. An obtuse triangle can be any form that always has three angles.
Does the altitude of a triangle always intersect inside the triangle?
No. Not if the triangle is right angled (the intersection is AT the right vertex) or obtuse angled (intersection outside).
