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computation, right triangle inside right triangle 2000 Portugal p5

Source:

October 12, 2020
geometryright triangle

Problem Statement

In the figure, [ABC][ABC] and [DEC][DEC] are right triangles . Knowing that EB=1/2,EC=1EB = 1/2, EC = 1 and AD=1AD = 1, calculate DCDC. https://1.bp.blogspot.com/-nAOrVnK5JmI/X4UMb2CNTyI/AAAAAAAAMmk/TtaBESxYyJ0FsBoY2XaCGlCTc6mgmA5TQCLcBGAsYHQ/s0/2000%2Bportugal%2Bp5.png
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