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It's kind of hard to explain without a picture. After constructing the main triangle and the medians of that triangle, make another point outside of the triangle. Then click on one of the medians and that outside point and construct a circle by center and radius. Now use the point (not the center of the circle) and choose another median and construct circle by center and radius. See if this gives you a start at least.
 
It's kind of hard to explain without a picture. After constructing the main triangle and the medians of that triangle, make another point outside of the triangle. Then click on one of the medians and that outside point and construct a circle by center and radius. Now use the point (not the center of the circle) and choose another median and construct circle by center and radius. See if this gives you a start at least.
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Sorry-use the same center for the first two circle by center and radius, then pick a piont on one of the two circles and use that with the third median to construct circle by center and radius. Sorry for the confusion!!!!
  
  
 
I tried something else and this is neat,  but not sure it is what is needed.  Rather than use the medians (which go from vertex to midpoint),  connect the midpoints to make a mini triangle inside the bigger triangle.  A definite correlation in area there.  Could this be what he wants?  Makes more sense - Sue
 
I tried something else and this is neat,  but not sure it is what is needed.  Rather than use the medians (which go from vertex to midpoint),  connect the midpoints to make a mini triangle inside the bigger triangle.  A definite correlation in area there.  Could this be what he wants?  Makes more sense - Sue

Revision as of 10:00, 6 October 2009

I am having trouble constructing the diagram for number 1. Does anyone have any suggestions? -Mary

Me too. Does it have to be an equilateral triangle? Are the sides of DEF the actual median segments of ABC? Or just of equal length? Sue

It's kind of hard to explain without a picture. After constructing the main triangle and the medians of that triangle, make another point outside of the triangle. Then click on one of the medians and that outside point and construct a circle by center and radius. Now use the point (not the center of the circle) and choose another median and construct circle by center and radius. See if this gives you a start at least. Sorry-use the same center for the first two circle by center and radius, then pick a piont on one of the two circles and use that with the third median to construct circle by center and radius. Sorry for the confusion!!!!


I tried something else and this is neat, but not sure it is what is needed. Rather than use the medians (which go from vertex to midpoint), connect the midpoints to make a mini triangle inside the bigger triangle. A definite correlation in area there. Could this be what he wants? Makes more sense - Sue

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett