Geometry Problem
Click the figure below to see the complete problem 514 about Triangle, Five Squares, Line, Area, Collinearity.
See also:
Complete Problem 514
Level: High School, SAT Prep, College geometry
Friday, August 27, 2010
Problem 514: Triangle, Five Squares, Line, Area
See also:
Complete Problem 514
Level: High School, SAT Prep, College geometry
Subscribe to:
Post Comments (Atom)
name a, b, side of A1, A2 => SA3 = a² + b²
ReplyDeletefour 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)
Nicely proved. Thanks
ReplyDelete