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Determine a length

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December 9, 2010
geometryangle bisectorgeometry unsolved

Problem Statement

In a circle with centre at OO and diameter ABAB, two chords BDBD and ACAC intersect at EE. FF is a point on ABAB such that EF⊥ABEF \perp AB. FCFC intersects BDBD in GG. If DE=5DE = 5 and EG=3EG =3, determine BGBG.
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