Friday, August 27, 2010

Problem 514: Triangle, Five Squares, Line, Area

Geometry Problem
Click the figure below to see the complete problem 514 about Triangle, Five Squares, Line, Area, Collinearity.

Problem 514: Triangle, Five Squares, Line, Area


See also:
Complete Problem 514

Level: High School, SAT Prep, College geometry

1 comment:

  1. name a, b, side of A1, A2 => SA3 = a² + b²
    four uncolored tr have same area (a∙b)/2
    S four tr + A1 + A2 + A3 = 2a∙b + 2a² + 2b² (1)
    S trapezoid with left side of A1 and right side of A2
    = (a+b)(2a+2b)/2 = a² + 2a∙b + b² (2)
    (1) - (2) = a² + b² give area of A ( see P508)

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