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gaurav bhatt Grade:
        

how  to  find   the  othrocenter  of  a  trianle whoose  vertices  are  A(0,0)  b(-1,3)  c (2,-1)

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear gaurav


Orthocenter is the point of intersection of altitude


so find the equation of line which is perpendicular to the line joing point (-1,3) and (2,-1) and passes through (0,0)


slope of the line BC  = -1/2


slope of the line perpendicular to it =2


so equation of line :   y-3 =2 (x+1)


                          or  2x-y +5=0


 


now find another line which is perpendicular to the line joing point (0,0) and (2,-1) and passes through (-1,-3)


slope of the line AC  = -4/3


slope of the line perpendicular to it =3/4


so equation of line :   y =3/4 x


                          or  3x-4y =0


 


solve these two equation


x=-4  , y =-3


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Badiuddin

7 years ago
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