20/09/29 17:50:13.63 h5tSBHnI.net
前>>228訂正。
>>222
ヘロンの公式より、
√q=√s(s-a)(s-b)(s-c)
s=sin(π/7)+sin(2π/7)+sin(3π/7)
s-a=s-sin(π/7)=sin(2π/7)+sin(3π/7)
s-b=s-sin(2π/7)=sin(3π/7)+sin(π/7)
s-c=s-sin(3π/7)=sin(π/7)+sin(2π/7)
s(s-a)={sin(2π/7)+sin(3π/7)}sin(π/7)+{sin(2π/7)+sin(3π/7)}^2
=3.84843290557
(s-b)(s-c)=sin^2(π/7)+{sin(2π/7)+sin(3π/7)}sin(π/7)+sin(2π/7)sin(3π/7)
=0.43388373911+0.76222933488+0.76222933488
=1.95834240888
∴q=7.53654936671