MathDB
Nice geometric inequality

Source: Yugoslavia 2002

August 20, 2005
inequalitiesgeometryrhombustrigonometrycircumcirclegeometric transformationgeometry proposed

Problem Statement

Let ABCD ABCD be a rhombus with \angle BAD \equal{} 60^{\circ}. Points S S and R R are chosen inside the triangles ABD ABD and DBC DBC, respectively, such that \angle SBR \equal{} \angle RDS \equal{} 60^{\circ}. Prove that SR2≥AS⋅CR SR^2\geq AS\cdot CR.
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