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Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
Do the three altitudes of an obtuse triangle always intersect inside the triangle?
No.
What triangle is the point of concurrency of the angle bisectors of a triangle?
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
Will medians sometimes intersect inside a acute triangle?
Always.
What are the properties of the incenter of a triangle?
The incenter of a triangle is always inside it. The incenter is where all of the bisectors of the angles of the triangle meet. The incenter is equidistant from each side of the triangle
Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
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.
Where can the bisectors of the angles of an obtuse triangle intersect?
inside the triangle ;) hope this helps!!
Do the medians of a triangle always intersect inside the triangle?
Yes.
Do the three altitudes of an obtuse triangle always intersect inside the triangle?
No.
What triangle is the point of concurrency of the angle bisectors of a triangle?
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
Will the medians always intersect inside an acute triangle?
Yes.
Will medians sometimes intersect inside a acute triangle?
Always.
What are the properties of the incenter of a triangle?
The incenter of a triangle is always inside it. The incenter is where all of the bisectors of the angles of the triangle meet. The incenter is equidistant from each side of the triangle
What does a circle inside a triangle mean?
Well, honey, a circle inside a triangle is usually a symbol used in geometry to represent the incenter of the triangle. The incenter is the point where the angle bisectors of the triangle intersect. So basically, it's just a fancy way of saying the center of the circle is equidistant from all three sides of the triangle. Hope that clears things up for ya!
Properties of the incenter of a triangle?
B. The incenter is equidistant from each side of the triangle. C. The incenter is where all of the bisectors of the angles of the triangle meet. D. The incenter of a triangle is always inside it.
Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
