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Omni-MATH / The area of a convex pentagon ABCDE is S, and the circumradii of the triangles ABC,BCD,CDE,DEA,EAB are R₁,R₂,R₃,R₄,R₅. Prove the inequality R₁⁴+R₂⁴+R₃⁴+R₄⁴+R₅⁴≥(4)/(5sin²108^(∘))S²… · Discussion

Discussing The area of a convex pentagon ABCDE is S, and the circumradii of the triangles ABC,BCD,CDE,DEA,EAB are R₁,R₂,R₃,R₄,R₅. Prove the inequality R₁⁴+R₂⁴+R₃⁴+R₄⁴+R₅⁴≥(4)/(5sin²108^(∘))S²… · Omni-MATH

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