Department of Mathematics Education
EMT 525/725
PROBLEM: Inscribe a square in a given
triangle.
Consider the four vertices of a square. To have
a square inscribed in a triangle, two of the square's vertices
must lie on the same side of the triangle. Here are some examples:
Given a triangle, can we construct the inscribed square?
For the triangle shown above, there are three distinct
inscribed squares. What conjectures can you make about number
of inscribed squares for a given triangle? Is there any relation
between the area of the inscribed square and the given triangle?
Presented by Alan Russell (Guest lecturer)
from George
Polya's How to Solve It.
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