Friday, April 3, 2009

Problem 280: Quadrilateral, Perpendiculars, Area of Squares

Proposed Problem

Problem 280: Quadrilateral, Perpendiculars, Area of Squares.

See complete Problem 280 at:
gogeometry.com/problem/p280_quadrilateral_perpendicular_squares_areas.htm

Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 2:35 PM
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1 comment:

  1. AjitApril 4, 2009 at 4:29 AM

    S1+S3+S5+S7 = AD^2+BE^2+CF^2+DG^2
    =(AO^2-OD^2)+(BO^2-OE^2)+(CO^2-OF^2)+(DO^2-OG^2)
    =(BO^2-OD^2)+(CO^2-OE^2)+(DO^2-OF^2)+(AO^2-OG^2)
    =BD^2+CE^2+DF^2+AG^2
    =S2+S4+S6+S8
    QED
    Ajit: ajitathle@gmail.com

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