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Which term describes the point where the three angle bisector of a triangle intersect?
The point where the three angle bisectors of a triangle intersect is called the incenter. This point is equidistant from all three sides of the triangle and serves as the center of the triangle's incircle, which is the circle inscribed within the triangle. The incenter is significant in triangle geometry and is always located inside the triangle.
Do the three altitudes of an obtuse triangle always intersect inside the triangle?
No.
Will medians sometimes intersect inside a acute triangle?
Always.
Do angle bisectors always intersect inside the triangle?
Yes.
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).
Do the medians of a triangle always intersect inside the triangle?
Yes.
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
Which term describes the point where the three angle bisector of a triangle intersect?
The point where the three angle bisectors of a triangle intersect is called the incenter. This point is equidistant from all three sides of the triangle and serves as the center of the triangle's incircle, which is the circle inscribed within the triangle. The incenter is significant in triangle geometry and is always located inside the triangle.
Do the three altitudes of an obtuse triangle always intersect inside the triangle?
No.
Will the medians always intersect inside an acute triangle?
Yes.
Will medians sometimes intersect inside a acute triangle?
Always.
Do angle bisectors always intersect inside the triangle?
Yes.
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).
What point of concurrency in a triangle is always located inside the triangle?
The point of concurrency in a triangle that is always located inside the triangle is the centroid. The centroid is the point where the three medians of the triangle intersect, and it represents the triangle's center of mass. Regardless of the type of triangle—acute, obtuse, or right—the centroid will always be found within the triangle's boundaries.
Where can the bisect it's of angles of an right triangle intersect?
As with any triangle, inside the triangle.
Where can the bisectors of the angles of an obtuse triangle intersect?
inside the triangle ;) hope this helps!!
What are the characteristics of orthocenter?
The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.
