Tuesday, October 8, 2013

Geometry Problem 931: Square, Circle, Semicircle, Diameter, Triangle, Angle, Metric Relations

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 931.

Online Geometry Problem 931: Square, Circle, Semicircle, Diameter, Triangle, Angle, Metric Relations

5 comments:

  1. http://users.sch.gr/mnannos/gogeometry/931.jpg

    ReplyDelete
  2. Connect BD.
    Observe that in ∠DBE = ∠CBE - ∠DBE = α
    and ∠BDE = 45 - ∠EDA = 45 - ∠EAB = 45 - α
    Since ∠ABE = 45 - α, we have ∆ABE~∆BDE
    so AE/EB = AB/BD => 3/x = 1/sqrt(2) => x = 3sqrt(2)

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  3. [IMG]http://www.mathmontada.net/vb/uploaded/1488_1381763088.jpg[/IMG]

    ReplyDelete
  4. http://bleaug.free.fr/gogeometry/931.png

    by construction BE = AE.sqrt(2) = AE.sqrt(2)

    bleaug

    ReplyDelete