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CBSE Class 10 Answered

find the centroid of the triangles with vertices: (-1,3),(6,-3) and (-3,6)
Asked by kadaramyadav | 02 Nov, 2023, 11:02: PM
answered-by-expert Expert Answer
Let the vertices of triangle are ( x1 , y1 ) , (x2 , y2 ) and (x3 , y3 )
 
Centroid of triangle is begin mathsize 14px style open parentheses fraction numerator x subscript 1 plus x subscript 2 plus x subscript 3 over denominator 3 end fraction space comma space fraction numerator y subscript 1 plus y subscript 2 plus y subscript 3 over denominator 3 end fraction close parentheses end style
Hence centroid ( xc , yc ) of triangle for given vertices (-1,3 ) , ( 6, -3 ) and (-3, 6 ) is given as
 
begin mathsize 14px style open parentheses x subscript c space comma space y subscript c close parentheses space equals space open parentheses fraction numerator negative 1 plus 6 minus 3 over denominator 3 end fraction space comma space fraction numerator 3 minus 3 plus 6 over denominator 3 end fraction close parentheses space equals space open parentheses 2 over 3 space comma space 2 close parentheses end style
Answered by Thiyagarajan K | 02 Nov, 2023, 11:26: PM
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