Thursday, July 2, 2015

Geometry Problem 1126: Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the diagram below to enlarge it.

Online Math: Geometry Problem 1126: Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean.

Posted by Antonio Gutierrez at 2:14 PM
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2 comments:

  1. Jacob HA (EMK2000)July 2, 2015 at 4:05 PM

    Observe that ∠ADB=∠ADE=60°,
    thus from S(ADB)+S(ADE)=S(BDE),
    xe sin60° + xd sin60° = de sin120°
    x=de/(d+e)

    ReplyDelete
  2. Ivan BazarovJuly 9, 2015 at 11:33 AM

    x/d=BC/EB=AB/EB=1/(EB/AB)=1/(1+d/e)=e/(e+d)

    ReplyDelete

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