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Circle Plane Geometry

  1. Mar 27, 2005 #1
    This is the last problem on a geometry problem set that I can't seem to finish.

    AB and BC are chords in a circle where AB > BC. D is the midpoint of minor arc ADBC. If DE is perpendicular to AB, prove that AE = EB + BC.

    I would really appreciate just the proper way to approach this question instead of a solution. I've tried joining CD and AC and using similar triangles but to no avail. I've also tried applying sine law on triangles ADE and DBC, no dice either.

    Thanks in advance.
  2. jcsd
  3. Mar 27, 2005 #2
    I had to make an extension outside of the circle, but I got it!
  4. Mar 27, 2005 #3


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    well done son, solving your own question is like super medicine .
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