In a triangle,co-ordinates of A are (1,2) and the equation of the medians through B&C are x+y=5 and x=4 respectively.Find the co-ordinates of B&C

Dear Sohan

x coordinate of centroid will be 4 and it will lie on x+y=5

hence centroid G is (4,1)

x coordinate of mid point of AB will be 4 as it lies on x=4

x coordinate of B will be 7

B lies on x+y=5

hence y coordinate of B= -2

hence B is (7,-2)

x coordinate of C will be 4 as it lies on x=4

let C is (4,c)

y coordinate of centroid=1=(2-2+c)/3

hence c=3

hence C is (4,3)

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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