Geometry Problem 1338: Four Squares, Diagonals, Angle, 45 Degrees, Areas, Typography, iPad Apps

Proposition

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.

See solution below

---

Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

See also:
Original problem 1338.