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tangents meet on median All-Russian MO 1995 Regional (R4) 10.3

Source:

August 26, 2024
geometryTangentsmedian

Problem Statement

In an acute-angled triangle ABCABC, the circle SS with the altitude BKBK as the diameter intersects ABAB at EE and BCBC at FF. Prove that the tangents to SS at EE and FF meet on the median from BB.
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