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February 16th, 2018, 12:51 PM   #1
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Triangle inequality

Let ABC a triangle and O I H are non-collinear. R₁ is radius of circumscribed circle of OIH. Show that R₁>R/2, where R is radius of circumscribed circle of ABC.

Last edited by skipjack; February 16th, 2018 at 02:41 PM.
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February 16th, 2018, 01:02 PM   #2
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What are O I H? How do they relate to the triangle?

Last edited by greg1313; February 16th, 2018 at 11:26 PM.
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February 16th, 2018, 01:08 PM   #3
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H = orthocentre
I= incentre
O = circumcentre
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