Department of Mathematics Education
PROBLEM: Inscribe a square in a given
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)
Polya's How to Solve It.
Return to EMAT