P where you like

 The Problem:

Draw an equilateral triangle, ABC, of side 10cm.

Choose any point in the interior of the triangle, and call it P. 

Drop perpendiculars from P to each of the three sides. These points of contact can be called M, N and Q.

 

Measure the lengths of PM, PN and PQ. 

What is the total of these three lengths PM + PN + PQ ?

 

Try it again with some other point Pí. 

Can you explain why the total is always the same?  

Open the File as a Word Document

 

Send site mail to admin@1000problems.org  or personal comments direct to sdakeyne@psc.ac.uk with questions or comments about this web site.
Last modified: June 18, 2007