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Math
Geometry Problem 1016. Triangle, 45 Degrees, Area,
Quadrilateral, Altitude, Angle Bisector |
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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 S1 is the area of quadrilateral BEDF, prove that
S2 / S12 = 2.
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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.
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1011-1020
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Angle Bisector
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45 degrees
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Altitude
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Solution / comment | by Antonio Gutierrez
Last updated: Sep 19, 2014
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