Prove that..........

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)

4 Answers

19
Debotosh.. ·

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 !

3
Swastika dutta ·

thanx organic ....
But can u plz show the steps . I am not getting the result.

19
Debotosh.. ·

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 !

3
Swastika dutta ·

thanx again.........

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