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Do the medians of a triangle always intersect inside the triangle?
Yes.
Will medians sometimes intersect inside a acute triangle?
Always.
Are the medians always inside a right triangle?
no
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.
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.
Do angle bisectors always intersect inside the triangle?
Yes.
A median of a triangle may fall outside the triangle?
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!!!!!!!!
What is the fewest number of medians that lie within a triangle?
All three medians MUST lie inside the triangle.
Where is the centroid located in an acute triangle?
Where the medians meet, inside the triangle.
What best describes the centroid of a triangle?
The centroid of a triangle is the point where its three medians intersect, which are the line segments connecting each vertex to the midpoint of the opposite side. It serves as the triangle's center of mass and divides each median into a ratio of 2:1, with the longer segment being closer to the vertex. The centroid is always located inside the triangle, regardless of the triangle's shape.
Which type of triangle contains its centroid?
All types of triangles—scalene, isosceles, and equilateral—contain their centroid. The centroid, which is the point where the three medians intersect, is always located inside the triangle, regardless of its type. This property holds true because the centroid is calculated as the average of the vertices' coordinates, ensuring it lies within the triangle's boundaries.
