Centroid

 Centroid 

Centroid is not very confusing topic but there is some confusion with centroid. Now, I want to clear all doubts of centroid in this article. So let's start- 

Following are the the points that you should always keep in your mind of centroid :


  1. Centroid is the intersection point of the medians of a triangle and is generally denoted by ‘G’. It is also known as Center of gravity.
  2. Centroid always remains inside the triangle.
  3. Centroid(G) divides the median in 2:1 ratio.
  4. Centroid(G) divides the triangle into three triangles of equal areas.
  5. Area of triangle formed formed by joining the feet of medians of a triangle is ¼th of its area.





6. Theorems of the medians (Apollonius Theorem) 

b²+c²=2(h²+m²)
🖕
This is Apollonius Theorem

7. Co-ordinates of centroid(G)














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