Questions
Orthocentre of the triangle with vertices and is
a
(3,5/2)
b
(3,12)
c
(3,3/4)
d
(3,9)
detailed solution
Correct option is C
The coordinates of the centroid G and circumcentre O of the triangle are ( 7/3 , 4/3) and (2,13/8)respectively. We know that the circumcentre G divides the segment joining the orthocentre O' and circumcentre O in the ratio 2 : 1. Therefore, if (x, y) are the coordinates of the orthocentre thenx+43=73 and y+1343=43⇒x=3 and y=34Talk to our academic expert!
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If an triangle circumcentre and orthocentre then the coordinates of the midpoint of the side opposite to A are
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