A square divided by three line segments. The red and blue areas are equal. What’s the length proportion a : b?
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Solution
The proportion a : b is the Golden Ratio φ.
Categories
Check and balance
3 replies on “Check and balance”
From the solution it is not clear how the coordinates of A and B are determined? Can you please help?
Yes. I now realized how the coordinates of A and B are found out.
For A, it is the intersection of the line passing through (0,1/2) and (1,0) and the line passing through (a,1) and (0,0). Similarly for B.
Very nice method.
Glad you found out. Yeah, it ís a nice application of Cartesian coordinates.