Monday, August 5, 2013

Problem 908: Bicentric Quadrilateral, Incircle, Circumcircle, Circunscribed, Inscribed, Tangent, Inradius

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

Click the figure below to see the complete problem 908.

Online Geometry Problem 908: Bicentric Quadrilateral, Incircle, Circumcircle, Circunscribed, Inscribed, Tangent, Inradius.

Posted by Antonio Gutierrez at 3:01 PM
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2 comments:

  1. AjitAugust 5, 2013 at 4:31 PM

    1/(BI)^2 + 1/(DI)^2 = 1/(AI)^2 + 1/(CI)^2 = 1/x^2 -- Property Bicentric Quad. or 1/16 + 1/4 =1/x^2 or x = 4/√5

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  2. UnknownAugust 5, 2013 at 10:45 PM

    CG=sqrt(4-x^2)
    ICG~AIH
    sqrt(4-x^2)/x=0.5
    1.25x^2=4
    x=2/sqrt(1.25)

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