MathDB

Bubble Boy and Bubble Girl live in bubbles of unit radii centered at

(20, 13)

and

(0, 10)

respectively. Because Bubble Boy loves Bubble Girl, he wants to reach her as quickly as possible, but he needs to bring a gift; luckily, there are plenty of gifts along the

x

-axis. Assuming that Bubble Girl remains stationary, find the length of the shortest path Bubble Boy can take to visit the

x

-axis and then reach Bubble Girl (the bubble is a solid boundary, and anything the bubble can touch, Bubble Boy can touch too)

Problem Statement