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Q: Do the angle bisectors of a triangle always sometimes or never intersect on the triangle?

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The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.

Yes. Medians always intersect in a single point, called the centroid, or geocenter.

A median of a triangle is a line segment joining the vertex to the midpoint of the opposite side. The medians ( each triangle has 3) always intersect at a point call the centroid and the centroid is always INSIDE the triangle.APEX: The incenter of a triangle ________ falls outside of its triangle. = neverA median of a triangle may fall outside the triangle? false apex!!!!!!!!

Some planes are parallel and don't intersect at all. Those that do intersect (and that are not coincident, i.e. the same plane) intersect in a line.

Yes

Related questions

The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.

The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)

Yes.

yes, because perpendicular lines always intersect. all lines intersect unless they are parallel or on separate planes (skew)

sometimes

Always for it to be a complete triangle with three altitudes it would have to intersect at a vertex.

The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.

Always.

No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle. * * * * * On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.

equalateral

Yes.

No.