K12 Math Puzzles
Rosebush Puzzle 3: Solution
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Visitor Jason Christianson describes this alternate solution:
Mark the three vertices of an isosceles triangle. Draw the two legs from the top vertex to the bottom two vertices. Pick three points on one leg; reflect those points across the altitude and onto the opposite leg. Now construct three segments connecting each bottom vertex to those three new points on the opposite leg. Last, drop a segment straight down from the top vertex, passing through all the points of intersection. Mark the point at the end of this line, and at all the intersections.
Download a GSP sketch (4K) to experiment with this solution.
If you found any others we'd love to hear about them.
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Suzanne Alejandre and Sarah Seastone
18 April 2006