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A195344 Decimal expansion of shortest length, (A), of segment from side AB through incenter to side AC in right triangle ABC with sidelengths (a,b,c)=(1,3,sqrt(10)).

%I A195344 #5 Mar 30 2012 18:57:45
%S A195344 8,4,8,6,8,0,9,6,8,7,9,3,4,1,5,9,6,8,1,3,0,9,8,9,7,4,8,3,0,2,9,8,5,1,
%T A195344 5,9,3,8,1,8,4,6,1,8,5,1,2,0,2,0,1,5,9,0,5,2,1,4,8,4,9,1,9,7,6,6,5,2,
%U A195344 5,4,9,2,3,5,6,3,9,4,4,0,4,6,2,4,5,2,5,0,3,4,5,3,0,8,9,5,4,3,8,7
%N A195344 Decimal expansion of shortest length, (A), of segment from side AB through incenter to side AC in right triangle ABC with sidelengths (a,b,c)=(1,3,sqrt(10)).
%C A195344 See A195284 for definitions and a general discussion.
%e A195344 (A)=0.84868096879341596813098974830298515938184618...
%t A195344 a = 1; b = 3; c = Sqrt[10]; f = 2 a*b/(a + b + c);
%t A195344 x1 = Simplify[f*Sqrt[a^2 + (b + c)^2]/(b + c) ]
%t A195344 x2 = Simplify[f*Sqrt[b^2 + (c + a)^2]/(c + a) ]
%t A195344 x3 = f*Sqrt[2]
%t A195344 N[x1, 100]
%t A195344 RealDigits[%]  (* A195344 *)
%t A195344 N[x2, 100]
%t A195344 RealDigits[%] (* A195345 *)
%t A195344 N[x3, 100]
%t A195344 RealDigits[%] (* A195346 *)
%t A195344 N[(x1 + x2 + x3)/(a + b + c), 100]
%t A195344 RealDigits[%] (* A195347 *)
%Y A195344 Cf. A195284, A195345, A195346, A195347.
%K A195344 nonn,cons
%O A195344 0,1
%A A195344 _Clark Kimberling_, Sep 16 2011