Difference between revisions of "2007 iTest Problems/Problem TB4"
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Latest revision as of 20:07, 2 January 2020
Problem
Circle 
is the circumcircle of non-isosceles triangle 
. The tangent lines to circle at points 
and 
intersect at 
, and the tangents at 
and intersect at 
. The external angle bisectors of triangle at and meet at 
and the external bisectors at and intersect at 
. Prove that lines 
, 
, and 
are concurrent.
Solution
See also
| 2007 iTest (Problems, Answer Key) | ||
| Preceded by: Problem TB3 |
Followed by: Last Question | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 • 51 • 52 • 53 • 54 • 55 • 56 • 57 • 58 • 59 • 60 • TB1 • TB2 • TB3 • TB4 | ||
