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Online Math: Geometry Problem 1034: Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter. Level: School, College.

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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).
 

Geometry Problem 1034: Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter

 

 

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
 

See also:

Art of Problem 1034: Delaunay Triangulation.

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Last updated: Sep 19, 2015