Cutting Corners in a Rectangle
- Bill Lombard
Cutting Corners in a Rectangle Your mission, should you choose to accept it, is to locate points E and F so that the areas of triangles 1, 2, and 3 are equal. Suggestion: highlight E or F and use cursor (arrow) keys to adjust. This gives maximum control of the values. Fibonacci says" "The ratios of g/h and r/t are provided as suggestions." Problem source: J A H Hunter's Triangle Inscribed In a Rectangle in The Fibonacci Quarterly, Vol 1, 1963, Issue 3, page 66. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/phi2DGeomTrig.html
What are the ratios that give the same areas?