note the tringle ABC is not isosceles with the elevtions of AA1,BB1, and CC1.suppose BA amd CA respectively point at BB1 and CC1 so that A1BA is pependiculer to BB1 and A1CA perpendiculer to CC1.the read and BC lines intersect at the TA point. define in the same way TB and TC poits. prove that TA,TB,and TC are collinear.


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Question Number 114950 by joki last updated on 22/Sep/20

$n o t e t h e t r i n g l e A B C i s n o t i s o s c e l e s w i t h$ $t h e e l e v t i o n s o f A A 1, B B 1, a n d C C 1 . s u p p o s e$ $B A a m d C A r e s p e c t i v e l y p o i n t a t B B 1 a n d$ $C C 1 s o t h a t A 1 B A i s p e p e n d i c u l e r t o B B 1$ $a n d A 1 C A p e r p e n d i c u l e r t o C C 1 . t h e r e a d$ $a n d B C l i n e s i n t e r s e c t a t t h e T A p o i n t .$ $d e f i n e i n t h e s a m e w a y T B a n d T C p o i t s .$ $p r o v e t h a t T A, T B, a n d T C a r e c o l l i n e a r .$
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