in a triangle ABC, coordinates of orthocentre, centroid and vertex A are (3,2) , (3,1) and (1,2) respectively. Then x-coordinate of vertex B is... ???
i have got the ans but its not matching... so i wanna verify...
plz ny of ans for this....
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3 Answers
skygirl
·2008-11-20 05:20:47
haan may be... but how..?? plz explain naa...
i got 2 answers ..3 and 5.. :)
Lokesh Verma
·2008-11-20 05:25:08
the important thing is that the BASE BC is perpendicular to the line AL where L is the orthocenter
AL is parallel to X axis
so BC will be parallel to Y axis
So both B and C will have the same x coordinae
so B=(t,l) C=(t,m)
centroid is (t+t+1)/3, (l+m+2)/3
it is given in question as 3,1
(2t+1)/3=3
t=4