Shortest Path #2
Geometry
Level
3
There is a rectangle \(ABCD\) with side lengths 2 and 3 as shown on the right.
Point \(P\) is on \(\overline{BC}\) and point \(Q\) is on \(\overline{CD}.\)
\(M\) is the midpoint of \(\overline{AD}.\)
Let \(m\) be the length of the shortest path from \(A\) to \(M,\) while visiting \(P\) and \(Q\) sequentially.
Find the value of \(m^2.\)
This problem is a part of <Shortest Path> series.
by
H.M. 유