In the figure bellow, ABCD is a square and the measure of the angle EAF is 45 degrees (E and F lie on BD). If S1, S2, and S are the areas of the squares of diagonals BE, FD, and EF, respectively, prove that S = S1 + S2.
#Geometry Problem 1338: Four Squares, Diagonals, Angle, 45 Degrees, Areas, #Typography #iPad Apps https://t.co/R6XhdwsOgs #geometricart #fractals #sketch #drawing #proof #math #highschool pic.twitter.com/eqZYFwx9ZO
— Antonio Gutierrez (@gogeometry) February 27, 2018
See also:
Art of problem 1338
Typography of problem 1338
Art of problem 1338: Hyperbolic Kaleidoscope
Art of problem 1338: Deform around a spiral.