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The figure below shows a
triangle ABC where A1, B1, and C1 are on BC, AC, and AB,
respectively, so that the
incircles
of triangles AB1C1, BA1C1, and
CA1B1 are equal. Prove that the
perimeter
of triangle A1B1C1 is
equal to the perimeter of triangle A2B2C2.
(isoperimetric triangles).
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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.
See also:
Art of
Problem 1034: Delaunay Triangulation.
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by Antonio Gutierrez
Add a solution to the problem 1034
Last updated: Sep 19, 2015
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