My Math Forum Triangle inscribed in a circle problem

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 April 16th, 2014, 07:04 PM #11 Global Moderator   Joined: Dec 2006 Posts: 20,939 Thanks: 2210 Correct.
April 19th, 2014, 07:05 AM   #12
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Joined: Jan 2014
From: Tashkent, Uzbekistan

Posts: 52
Thanks: 2

Denis, skipjack, greg1313, thank you very much for your effort and help in solving the problem.

I caught the idea. skipjack intersection of medians at X is genius.

Also I want to understand other solutions. Let me clarify some points.
Quote:
 Originally Posted by Denis AX = 7SIN(angleAEX) / SIN(angleAXE) angleAEX = ~49.68, angle AXE = ~99.81
Denis, I wonder how to calculate these angles?

 Tags circle, inscribed, problem, triangle

### Let ABC be a triangle with sides a=13 b=14 c=15 . Then radius of the iscribed circle is

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