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Q.1 Let ABC be a right-angled triangle with ∠B = 90◦ . Let I be the incentre of ABC. Draw a line perpendicular to AI at I. Let it intersect the line CB at D. Prove that CI is perpendicular to AD and prove that ID = p b(b − a) where BC = a and CA = b

 

 

i need help for olympiads

 

 

 

 

 

 

 

 

 

 

 

 

 

 

http://olympiads.hbcse.tifr.res.in/olympiads/wp-content/uploads/2016/11/QPcrmo-16_1.pdf

kes1968  Jun 6, 2017
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When I drew this, the line perpendicular to AI  at I intersects AC and AB....not CB.....???

 

See the pic, here :

 

https://gyazo.com/2d27ee44dfd3b9279fc68eddac59077b 

 

 

cool cool cool

CPhill  Jun 6, 2017

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