Math
Geometry Problem 1016. Triangle, 45 Degrees, Area,
Quadrilateral, Altitude, Angle Bisector 
The figure below shows a triangle ABC
of area S
with angle A = 45 degrees, BH altitude, and BD angle bisector. HF
is the bisector of angle AHB (F on AB) and HE is the bisector of
angle BHC. If S_{1} is the area of quadrilateral BEDF, prove that
S^{2} / S_{1}^{2} = 2.

Mind Map: George Pólya's 1945 book,
"How to Solve It"
George Pólya's 1945 book "How to Solve It, A new aspect of
Mathematical Method", is a book describing methods of problem
solving. It suggests the following steps when solving a
mathematical problem: (1) First, you have to understand the
problem. (2) After understanding, then make a plan. (3) Carry
out the plan. (4) Look back on your work. How could it be
better?
A mind map is a diagram used to visually organize information, knowledge, concepts or ideas.
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Solution / comment  by Antonio Gutierrez
Last updated: Sep 19, 2014
