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Using coordinate geometry of 3D prove that the medians of a triangle are concurrent?
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∙ 15y ago
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∙ 15y ago
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The medians of a triangle are concurrent at what point?
Centroid
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.
Do the medians of a triangle always intersect inside the triangle?
Yes.
Do the medians of a triangle bisect the internal angles?
Not always. 1. The median to the base of an isosceles triangle bisects the vertex angle. 2. When the triangle is an equilateral triangle, then the medians bisect the interior angles of the triangle.
The medians of a triangle are concurrent at what point?
Centroid
Medians of a triangle are concurrent at this point?
Centroid
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.
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).
What is concurrency of medians of a triangle?
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
Concurreny of medians of triangle?
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.
What did Archimedes discover about the centroid of a triangle?
Archimedes showed that the point where the medians are concurrent is the center of gravity of a triangular shape of uniform thickness and density.
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.
The medians of a triangle meet at the centroid of the triangle?
Yes that is correct I'm in Geometry myself and we just learned this, it is called the Centroid because it divides each median in a 2:1 ratio
Where can the medians of a triangle intersect?
In the middle of the triangle.
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.
