Original problem by Robert Kaplinsky. I use the problem directly after we learn about special right triangles in Geometry (45-45-90 and 30-60-90). Lot's of great overlap between Algebra and Geometry here. Lot's of great opportunities for students to present different solution methods.
Here's the slide deck and handout I use with my students.
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I teach Math at Ralston Valley High School in Arvada, CO.