The centroid is the point where all the medians of a triangle intersect. It represents the center of mass of the triangle and divides each median in a 2:1 ratio. The centroid is always located inside the triangle and serves as a key concept in geometry and physics.
Class 10 Maths Chapter 6 Triangles is a vital topic for the CBSE Exam 2024-25. It covers similarity criteria theorems and their applications. Understanding triangle properties and solving problems based on similarity and congruence are essential. This chapter strengthens geometric reasoning and prepares students for advanced concepts in mathematics and real-life problem-solving scenarios.
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The centroid (G) of a triangle is the point where all three medians intersect. A median is a line segment joining a vertex to the midpoint of the opposite side. The centroid divides each median in a fixed ratio.
This ratio is 2:1, where the longer segment is closer to the vertex. In other words, the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint of the opposite side.
Thus, the correct answer is 2:1 from the vertex.
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