Question: Given triangle ABC with right angles ACB, CDB, and AED, Construct a perpendicular from E to AD intersecting at F. What is its length in

  1. Given triangle ABC with right angles ACB, CDB, and AED,
  2. Construct a perpendicular from E to AD intersecting at F. What is its length in terms of BC?
  3. Suppose you continue constructing perpendiculars in this manner - from point F to AE and so on. What is the formula for the lengths of nth perpendicular in terms of BC?

Given triangle ABC with right angles ACB, CDB,
C E A B D

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