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Bosnia and Herzegovina JBMO TST 2011 Problem 3

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2011

September 16, 2018
geometryisoscelesperpendicularangle bisectorratio

Problem Statement

In isosceles triangle ABCABC (AC=BCAC=BC), angle bisector ∠BAC\angle BAC and altitude CDCD from point CC intersect at point OO, such that CO=3⋅ODCO=3 \cdot OD. In which ratio does altitude from point AA on side BCBC divide altitude CDCD of triangle ABCABC
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