Comments on: Equilateral Triangle (Regional Mathematics Olympiad 2015 solution to Problem 5)
https://www.cheenta.com/equilateral-triangle-regional-mathematics-olympiad-2015-solution-to-problem-5/
Passion for MathematicsSat, 15 Sep 2018 07:25:34 +0000hourly1https://wordpress.org/?v=4.9.8By: Ashani Dasgupta
https://www.cheenta.com/equilateral-triangle-regional-mathematics-olympiad-2015-solution-to-problem-5/#comment-539
Sat, 12 Dec 2015 17:22:52 +0000http://cheenta.com/?p=5915#comment-539R is not necessarily the point where incircle meets. It is the point where angle bisector meets the opposite side. You must drop perpendicular from I on the sides to get the points through which incircle pass
]]>By: soham
https://www.cheenta.com/equilateral-triangle-regional-mathematics-olympiad-2015-solution-to-problem-5/#comment-538
Sat, 12 Dec 2015 12:57:42 +0000http://cheenta.com/?p=5915#comment-538but i could solve it without the information on kite just as i is the incentre so point R is the point where the incircle meets and its right angle similarly on the left hand side also and just consider the two right triangles RIC and just vertically opposite to it and provet the rest same way……
]]>By: Ashani Dasgupta
https://www.cheenta.com/equilateral-triangle-regional-mathematics-olympiad-2015-solution-to-problem-5/#comment-537
Fri, 11 Dec 2015 18:33:20 +0000http://cheenta.com/?p=5915#comment-537Information on the kite is critical for the proof. If the the quadrilateral is not a kite, then it is not equilateral.
]]>By: soham
https://www.cheenta.com/equilateral-triangle-regional-mathematics-olympiad-2015-solution-to-problem-5/#comment-536
Fri, 11 Dec 2015 18:24:39 +0000http://cheenta.com/?p=5915#comment-536what if we do not use the information on kite
]]>By: iaratrika
https://www.cheenta.com/equilateral-triangle-regional-mathematics-olympiad-2015-solution-to-problem-5/#comment-535
Wed, 09 Dec 2015 07:47:53 +0000http://cheenta.com/?p=5915#comment-535all we need to see is that A,P,R,B’ are concyclic
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