Question
The medians of a triangle meet at a point of concurrency, and that point s called the
Ask by Deleon Bartlett. in the United States
Mar 10,2025
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Answer
The point where the medians of a triangle meet is called the centroid.
Solution
The point where the medians of a triangle meet is called the **centroid**. The centroid is the point that divides each median into two segments, with the segment connecting the vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side. The centroid is also the center of mass of the triangle.
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That point is called the centroid! It's the balance point of the triangle, where all three medians intersect. Imagine it as the perfect spot to place a tiny ball; it would sit there without rolling off, as it represents the average of all three vertices' positions. The centroid has some cool properties too! It always divides each median into a ratio of 2:1, meaning the segment from the vertex to the centroid is twice as long as the segment from the centroid to the midpoint of the opposite side. This creates a harmonic balance and makes the centroid an essential concept in geometry.
