Problem 491.
Sangaku, Square, Right Triangle, Incircle, Inscribed Circle, Radius.
Level: High School, College.
The figure shows a square ABCD of side
a with the right triangles AEB, BFC, CGD, and AHD. If the
incircles of AEB, BFC, CGD, AHD, and EFGH are equal, find the
radius x.
How to Solve It, Interactive Mind Map
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?
Moku hanga or
Japanese Woodblock printing of problem 491

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