find foot of perpendiculars from the vertices upon the opposite sides and the find the equations to these altitudes ! solve the equation of any 2 altitudes and that gives the result !
prove that the orthocentre of triangle ABC with A(x1,y1) , B(x2,y2) and C(x3,y3) is
H(\sum{}x1tan A/\sum{}tan A , \sum{}y1tan A/\sum{}tan A)
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4 Answers
Debotosh..
·2009-10-12 09:21:01
Swastika dutta
·2009-10-12 09:28:19
thanx organic ....
But can u plz show the steps . I am not getting the result.
Debotosh..
·2009-10-12 09:33:06
use this:
the equation of the st line perpendicular to ax+by+c=0 and passing through (x1,y1) is b(x-x1) - a(y-y1)=0
in this case the lines are the sides of the triangle and the points are the opposite vertices !
...hope its done now !