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一个非钝角三角形不等式350015福州二十四中杨学枝如果△ABC的半周长为s,外接圆半径与内切圆半径分别为R与r,当△ABC为非钝角三角形时,40年前人们已经知道有以下两个重要不等式:s2≥2R2+8Rr+3r2s≥2R+r最近又有人对非钝角三角形中...
A non-obtuse triangle inequality 350015 Fuzhou twenty-four Zhongyang Xuezhi If △ABC has a half-perimeter length of s, the circumcircle radius and the inscribed circle radius are R and r, respectively. When △ABC is a non-obtuse triangle, it was known 40 years ago. There are the following two important inequalities: s2≥2R2+8Rr+3r2s≥2R+r and recently there have been non-obtuse angle triangles...