Given a rectangle ABCD with |AB|=a and |BC|=b.
There are two distinct equilateral triangles AEF
and AGH with points E and G on line BC and points
F and H on line CD. What is the product of the areas
of the two triangles in terms of a and b?
(In reply to Answer
This seems to check out in Geometer's Sketchpad for various ratios of a/b (and the dimensionality is right, in fourth powers of linear measure), but I can't help but ask for the derivation.
Posted by Charlie
on 2005-08-22 12:30:22