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LINTA AJUMON Grade:
        

P.T any triangle the perpendiculars from the vertices upon the opposite sides are concurrent?

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear LINTA


let the vertics of triangle are a ,b,c  and point of intersection of two perpendicular from vertics to other side is H.


so  (a-b).( H-c) =0 


 or    a.H -a.c -b.H +b.c =0 ................1


 and        (b-c).(H-a) =0


  or    b.H - b.a -c.H +c.a =0 .............2




from equation 1 and 2nd   ,   1-2


 (c-a).(H-b) =0


so points are concurrent


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Badiuddin

7 years ago
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