Stage: 4 Challenge Level: 
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Created with GeoGebra |
Triangle ABC is any right angled triangle and X is a moveable
point on the hypotenuse AC. The points P and Q are the feet of the
perpendiculars from X to the sides of the triangle.
Find the position of X which makes the length of PQ a
minimum.
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NOTES AND BACKGROUND
This dynamic image is drawn using Geogebra, free software and very easy to use. You can download your own copy of Geogebra from http://www.geogebra.org/cms/ together with a good help manual and Quickstart for beginners.
Maximise/minimise/optimise. Making and proving conjectures. Rectangles. Circle theorems. Dynamic geometry. Mathematical reasoning & proof. epsilons. Interactivities. Perpendicular lines. Graphs.
Published March 1998.
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email: nrich@damtp.cam.ac.uk