Secondary Special Camp 2011: Geometry P 2
Problem 2:The incircle of triangle ABC touches the sides $BC,CA,AB$ at $A',B',C'$ respectively. Let the midpoint of the arc $AB$ of the circumcircle (not containing $C$) be $C''$, and define $A''$ and $B''$ similarly. Prove that the lines $A'A'',B'B'', C'C''$ are concurrent.
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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Re: Secondary Special Camp 2011: Geometry P 2
Image:
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Re: Secondary Special Camp 2011: Geometry P 2
$\text {Solution:}$
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Re: Secondary Special Camp 2011: Geometry P 2
I have a solution but I don't know how to do such a sophisticated construction in my PC....
Could anyone help, please??
Could anyone help, please??
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Re: Secondary Special Camp 2011: Geometry P 2
You can use geogebra ,a easy-to-use program to draw figures,to draw them.
http://www.geogebra.org/cms/en/download
http://www.geogebra.org/cms/en/download
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Nur Muhammad Shafiullah | Mahi
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Re: Secondary Special Camp 2011: Geometry P 2
Thanks for your help mate...
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"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: Secondary Special Camp 2011: Geometry P 2
Here's the solution.....
In figure $2$, $D=$circumcentre of $\triangle ABC$
Last edited by Labib on Fri Apr 29, 2011 10:55 pm, edited 1 time in total.
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
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"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Re: Secondary Special Camp 2011: Geometry P 2
Please don't upload your high-res images, mobile users will be killed to see them.
When you export your image from geogebra, please select a low resolution option.
When you export your image from geogebra, please select a low resolution option.
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Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
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Re: Secondary Special Camp 2011: Geometry P 2
Sorry, I didn't know about that... :-S
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
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"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes
Learn how to write equations, and don't forget to read Forum Guide and Rules.
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes