(TI-Nspire CAS recommended)Study the diagram provided. A smaller square has been constructed inside a larger square, as shown.
A point x is located on the base of the larger square. (As shown) The smaller square is constructed using similar points on each of the remaining sides of the larger square. If x is the midpoint of the base, what is the ratio between the area of the larger square and the smaller square?
Explore the relationship between the position of this point and the area of the smaller square.
http://compasstech.com.au/TNSINTRO/TI-NspireCD/Exemplary_Activities_PDF/Act4_DiminishingSquare.pdf
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