give the formula of :-
☆ Centroid formula
{Co-ordinate Geometry}
[Std 10]
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Answer:
The centroid is the intersection of the three medians. The three medians also divide the triangle into six triangles, each of which have the same area. The centroid divides each median into two parts, which are always in the ratio 2:1. A B 2 + B C 2 + C A 2 = 3 ( G A 2 + G B 2 + G C 2 ) .
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☆ Centroid Formula☆
⟹ ✔️Formula for Centroid C
= [(x1 + x2 + x3)/ 3, (y1 + y2 + y3)/ 3]
☆ In this formula ☆ ✔️
- C denotes centroid of the triangle
- x1, x2, x3 are the x-coordinates of the vertices of a triangle.
- y1, y2, y3 are the y-coordinates of the vertices of a triangle.
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