※ 引述《codychaos (千本櫻)》之銘言:
: 為何小角的分角線會比大角的分角線長?
: 可否給予說明 謝謝
Let triangle ABC has three sides a,b,c and bisectors l,m,n.
Let r be the radius of circumscribed circle, and n bisects
C, it follows that n=(abc)/(4r^2(sin A + sin B)sin C/2) and
similarly for l and m. If a>b then A>B, therefore l<m qed.
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