The distance of the point of concurrency of the median of a triangle from the vertex is 2cm, then the length of that median is
Question
The distance of the point of concurrency of the median of a triangle from the vertex is 2cm, then the length of that median is
Solution
The point of concurrency of the medians of a triangle is known as the centroid. The centroid divides each median into two segments, where 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.
Given that the distance from the vertex to the centroid is 2 cm, the length of the segment from the centroid to the midpoint of the opposite side is half of that, or 1 cm.
Therefore, the total length of the median is the sum of these two segments, or 2 cm + 1 cm = 3 cm.
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