Polya 2024
- Author:
- Arthur Lee
- Topic:
- Triangles
This is a construction based on a famous problem from George Polya in his book "How to Solve It".
Use of dynamic geometry for this investigation is discussed in an article: Lopez-Real, F. (2006). A New Look at a Polya Problem. Mathematics Teaching Incorporating Micromath, 196, 12-15.
Drag B to find out how the square varies. Can you describe the path of D?
Turn on 'trace' for the point D to find out more.
The finding above could explain how a square can be inscribed in a triangle as shown below.
My introduction in Cantonese:
See "How to Solve It" in the Internet Archive:
https://archive.org/details/howtosolveit0000gpol_c0p2/mode/2up
links in HKU library: