Microworld: Triangle
Optimization : (All-in-One)
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to visit the Microworld.
Author:
Ravinder
Kumar
Equilateral triangles have some interesting properties. This 8-page Microworld
provides visualization of why among triangles of fixed perimeter equilateral
triangles are the ones that have maximum area. Two proofs of this fact are
also discussed. The first explanation depends upon multivariable calculus.
The second proof depends essentially on single variable calculus.
We
believe that this latter proof is a new proof and the power of Mathwright
is to make visualization of this not so straightforward proof possible.
This
book may be used for PreCalculus and Calculus I courses.
Suggested
Use: Optimization problems.
Number of Pages: 6
Animation: Yes
Grade Level: 11-15
Acknowledgements
The author wishes to record his thanks to Dr. James White for his very valuable
and critical comments of one of the earlier drafts of the book. His suggestions
and encouragement have played a very important role in giving final shape
to this book.
Return to the listing of MathwrightWeb Microworlds
| - James E. White, Ph.D. , Library Director, | ||
| author of this website, Mathwright 2000, MindScapes, | ||
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