If the orthocentre and centroid of a triangle are (-3,5) and (3,3) respectively. Find its circumcenter.

Asked by yashjain | 5th Dec, 2012, 09:22: PM

Expert Answer:

centroid divides line joining orthocentre and circumcentre in the ratio 2:1.
let the circumcentre be (x,y)
 
applying section formula
 
(2x-3)/3=3
or,x=6
 
(2y+5)/3=3
or, y=2
 
therefor circumcenter=(6,2)

Answered by  | 6th Dec, 2012, 11:01: AM

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