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Concurreny of medians of triangle

Updated: 4/28/2022
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15y ago

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The three medians are concurrent at a point known as the triangle's centroid. This is the center of mass of the triangle.

Two-thirds of the length of each median is between the vertex and the centroid, while one-third is between the centroid and the midpoint of the opposite side.

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Q: Concurreny of medians of triangle
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Related questions

Any triangle has what medians?

Any triangle has 3 medians Another answer (depending on what you are looking for) is that a triangle has concurrent medians (which means all three medians intersect at a single point).


Point of intersection of medians in a triangle?

The point where the three medians of a triangle intersect is called the centroid of the triangle.


What kind of triangle will be produced if one of its medians is perpundicular to the opposite side of that triangle?

In an isosceles triangle, one of the medians is perpendicular to the opposite side of that triangle. In an equilateral triangle, all three medians are perpendicular to the sides of that triangle.


Where can the medians of a triangle intersect?

In the middle of the triangle.


One word of the medians of a triangle have this point in common?

The medians of a triangle are concurrent at a point called the centroid.


Why the centroids of the triangle coincide with the intersection of its medians?

A triangle has only one centroid (so not centroids) and it is the intersection of its medians by definition.A triangle has only one centroid (so not centroids) and it is the intersection of its medians by definition.A triangle has only one centroid (so not centroids) and it is the intersection of its medians by definition.A triangle has only one centroid (so not centroids) and it is the intersection of its medians by definition.


What triangle shows medians bisect the sides of a triangle?

Medians bisect the sides of ALL triangles. That is what a median is, by definition!


What is the fewest number of medians that lie within a triangle?

All three medians MUST lie inside the triangle.


Do the medians of a triangle always intersect inside the triangle?

Yes.


The centroid of a triangle is the point where which part of the triangle intersect?

Medians


Will the medians of an obtuse triangle ever intersect on the triangle?

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


What is where all medians of a triangle intersect?

The centroid of a triangle is the point of intersection of the medians and divides each median in the ratio 2:1