Minimizing the Sum of Two Distances
Geometry
Level
3
The value of \(y\) that minimizes the sum of the two distances from \( (3,5)\) to \( (1,y) \) and from \( (1,y) \) to \( (4,9) \) can be written as \(\frac{a}{b}\) where \(a\) and \(b\) are coprime positive integers. Find \(a + b\).
by
Arron Kau