Two Squares
Pick a point P on the line segment AB and make squares: A side of one square is AP and a side of the other square is PB. Where should the point P be located to satisfy the condition that the sum of the areas of the two squares is a minimum? Explain.

Related External Resources 
Investigating Properties
In this activity, we'll construct a demonstration sketch which could be used by middle school students to investigate the properties of quadrilaterals.
Geoboards in the classroom
This unit deals with the length and area of twodimensional geometric figures using the geoboard as a pedagogical device.
Submit your idea for an investigation to InterMath.
