Sunday, November 18, 2012

Problem 823: Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point

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

Click the figure below to see the complete problem 823.

Online Geometry Problem 823: Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point.

2 comments:

  1. By the power of circle,
    QA*QB = QE*QF = 3*(3+5) = 24
    Yet QA*QB = QC*QB = (CD*QB)/2 = area of triangle BCD,
    so the answer is 24.

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  2. Let OA = R, QA = r
    Area of ΔBCD = r.(r + 2R)= QA.QB = QE.QF = (3)(8)= 24

    ReplyDelete