true
The Centroid
The medians of a triangle are concurrent and the point of concurrence, the centroid, is one-third of the distance from the opposite side to the vertex along the median
It is called the centroid.
Depends on the point of concurrency of what. The point of concurrency of altitudes will be outside in any obtuse triangle.
The Centroid
It is the centroid - the point at which the medians meet.
true
The Centroid
The point of concurrency of the medians of a triangle is called the centroid. It is the point where all three medians intersect each other. The centroid divides each median into two segments, with the segment closer to the vertex being twice as long as the other segment.
The medians of a triangle are concurrent and the point of concurrence, the centroid, is one-third of the distance from the opposite side to the vertex along the median
A point of concurrency is a point where three or more lines, segments, or rays intersect or meet. Common points of concurrency in geometry include the centroid, circumcenter, incenter, and orthocenter of a 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.
the centroid. here are all the points of concurrency: perpendicular bisector- circumcenter altitudes- orthocenter angle bisector- incenter median- centroid hope that was helpful :)
It is called the centroid.
The point where the three medians of a triangle intersect is called the centroid of the triangle.
Depends on the point of concurrency of what. The point of concurrency of altitudes will be outside in any obtuse triangle.