ABCD is a convex quadrilateral with
AC and
BD
intersecting at E.
F is a point on
AD such that
EF is
parallel to CD. It is given that the circumcircle of triangle
AED is tangential to
DC. If
FD=336 and
FA=420,
what is ED?
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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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Do not post this week's problems expecting someone to answer them. Work on them yourself. You can review the solution next week.