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