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2007 iTest Problems/Problem 60: Difference between revisions

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Created page with "== Problem == Let <math>T=\text{TNFTPP}</math>. Triangle <math>ABC</math> has <math>AB=6T-3</math> and <math>AC=7T+1</math>. Point <math>D</math> is on <math>BC</math> so that <..."
 
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== Solution ==
== Solution ==
==See Also==
{{iTest box|year=2007|num-b=59|num-a=TB1}}
[[Category:Introductory Geometry Problems]]

Revision as of 19:03, 2 January 2020

Problem

Let $T=\text{TNFTPP}$. Triangle $ABC$ has $AB=6T-3$ and $AC=7T+1$. Point $D$ is on $BC$ so that $AD$ bisects angle $BAC$. The circle through $A, B$, and $D$ has center $O_1$ and intersects line $AC$ again at $B'$, and likewise the circle through $A, C$, and $D$ has center $O_2$ and intersects line $AB$ again at $C'$. If the four points $B', C', O_1$, and $O_2$ lie on a circle, find the length of $BC$.

Solution

See Also

2007 iTest (Problems, Answer Key)
Preceded by:
Problem 59 		Followed by:
Problem TB1
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