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rhombus ABCD construction given circumradii of ABC, BCD

Source: 2004 Austria Beginners' Competition p4

October 4, 2022
geometryrhombusconstruction

Problem Statement

Of a rhombus ABCDABCD we know the circumradius RR of ΔABC\Delta ABC and rr of ΔBCD\Delta BCD. Construct the rhombus.
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