Monday, October 22, 2012

Problem 817: Two Circles, Circumscribed Quadrilaterals, Tangent Lines, Measurement

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

Click the figure below to see the complete problem 817.

Online Geometry Problem 817: Two Circles, Circumscribed Quadrilaterals, Tangent Lines, Measurement

Posted by Antonio Gutierrez at 2:01 PM
Labels: , , ,

2 comments:

  1. Jacob HA (EMK2000)October 22, 2012 at 5:14 PM

    EF + AB = BE + AF
    EF + CD = EC + FD

    Adding the two equalities,
    2 EF + (AB + CD) = BC + AD
    2 EF + 15 = 28
    EF = 13/2

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  2. Sumith PeirisJanuary 28, 2016 at 7:39 AM

    In a tangential quadrilateral the sum of opposite sides are equal

    Hence AF + BE = AB + EF and
    FD + EC = EF + CD

    Adding AD + BC = 2EF + AB + CD

    So 28 = 2EF + 15 so EF = 6.5

    Sumith Peiris
    Moratuwa
    Sri Lanka

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