Friday, April 30, 2010

Problem 443: Intersecting Circles, Common Chord, Secant line, Tangent line, Angles

Geometry Problem
Click the figure below to see the complete problem 443 about Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles.

Problem 443: Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles
See also:
Complete Problem 443

Level: High School, SAT Prep, College geometry

2 comments:

  1. m(EC,CB)=m(AC,AB)=m(DE,DB) => B,C,E,D concyclic
    α=mGAB=mADB=mCEB=α', similarly β=β'

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  2. < CBD = < CBA + < DBA = < ECD + < EDC = 180 – á’-â’ ( 180 - alpha dash - beta dash)

    Hence BCDE is concyclic and the result follows

    Sumith Peiris
    Moratuwa
    Sri Lanka

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