https://artofproblemsolving.com/wiki/index.php?title=2007_iTest_Problems/Problem_TB4&feed=atom&action=history
2007 iTest Problems/Problem TB4 - Revision history
2024-03-29T07:44:47Z
Revision history for this page on the wiki
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Piphi at 00:07, 3 January 2020
2020-01-03T00:07:33Z
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Piphi
https://artofproblemsolving.com/wiki/index.php?title=2007_iTest_Problems/Problem_TB4&diff=114116&oldid=prev
Piphi: Created page
2020-01-03T00:06:57Z
<p>Created page</p>
<p><b>New page</b></p><div>==Problem==<br />
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Circle <math>O</math> is the circumcircle of non-isosceles triangle <math>ABC</math>. The tangent lines to circle <math>O</math> at points <math>B</math> and <math>C</math> intersect at <math>L_a</math>, and the tangents at <math>A</math> and <math>C</math> intersect at <math>L_b</math>. The external angle bisectors of triangle <math>ABC</math> at <math>B</math> and <math>C</math> meet at <math>I_a</math> and the external bisectors at <math>A</math> and <math>C</math> intersect at <math>I_b</math>. Prove that lines <math>L_aI_a</math>, <math>L_bI_b</math>, and <math>AB</math> are concurrent.<br />
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==Solution==<br />
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==See also==<br />
{{iTest box|year=2007|num-b=TB3|num-a=Last Question}}</div>
Piphi