In the figure below, ABCD is a square
and the measure of angle EAF is 45 degrees (E on BC and F on
CD). AE and AF intersect BD at G and H, respectively. Prove that
the areas of triangle AGH and quadrilateral EFHG are equal.
![Elearn 1014: Square, Diagonal, 45 Degrees, Angle, Equal Areas, Triangle, Quadrilateral](p1014-square-45-degree-angle-diagonal-area-math.gif)
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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.
![College Geometry: Mind Map: George Pólya's 1945 book, How to Solve It](../problem-solving-polya-mind-map.gif)
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1011-1020
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Square
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45 degrees
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Solution / comment | by Antonio Gutierrez
Last updated: Sep 19, 2014
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