Sunday, March 22, 2009

Problem 273: Triangle, Perpendiculars, Area of Squares

Proposed Problem

Problem 273: Triangle, Perpendiculars, Area of Squares.

See complete Problem 273 at:
gogeometry.com/problem/p273_triangle_perpendicular_squares_areas.htm

Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 9:55 PM
Labels: , , ,

1 comment:

  1. AjitApril 3, 2009 at 12:37 AM

    S1 = AD^2 = OA^2 - OD^2
    S3 = BE^2 = OB^2 - OE^2
    S5 = CF^2 = OC^2 - OF^2
    Or,S1+ S3 + S5= OA^2-OD^2+OB^2 -OE^2+OC^2-OF^2
    =(OB^2-OD^2)+(OC^2-OE^2)+(OA^2-OF^2)
    = BD^2 + CE^2 + AF^2
    = S2 + S4 + S6
    QED
    Ajit: ajitathle@gmail.com

    ReplyDelete

Subscribe to: Post Comments (Atom)