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AMO · 2027 · Grades 8-9 · Self-study SET 22 Question 3

AMO

Question 3

An ant travels from $(7,10)$ to its anthill at $(19,25)$ and must touch the $x$-axis, where sugar is spread. What is its shortest possible travel distance? Assume an unobstructed Euclidean plane. Enter the distance in coordinate units.