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computational in tetrahedron DABC, <ACB = <ADB, (CD) _|_ (ABC)

Source: 2004 Oral Moscow Geometry Olympiad grade 10 p6

October 28, 2020
geometry3D geometrytetrahedron

Problem Statement

In the tetrahedron DABCDABC : ∠ACB=∠ADB\angle ACB = \angle ADB, (CD)⊥(ABC)(CD) \perp (ABC). In triangle ABCABC, the altitude hh drawn to the side ABAB and the distance dd from the center of the circumscribed circle to this side are given. Find the length of the CDCD.
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