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What is the part of the triangle that is equidistant from the vertices of the triangle?
The centroid, which is the point where the medians meet.
What is the point equidistant from the three sides of a triangle?
The point equidistant from the three sides of a triangle is the center of the triangle. The center of the triangle is the point of intersection of the medians of the triangle. The medians of a triangle are the line segments that join the vertices of the triangle to the midpoints of the opposite sides.
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.
Are altitudes and medians congruent in the same isosceles triangle?
The altitude for the unequal side is also the corresponding median. This is only true for that one side.
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 is the fewest number of medians that lie within a triangle?
All three medians MUST lie inside the triangle.
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!
Are the medians of a triangle equidistant from each vertex?
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle. The centroid of a triangle is twice as far from a given vertex than it is from the midpoint to which the median from that vertex goes. For example, if a median is drawn from vertex A to midpoint M through centroid C, the length of AC is twice the length of CM. The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.
