## Lime 2 years ago An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?

1. mathmate

Compare the distances T-U-V and T-V-U and take the shorter of the two.

2. Lime

$\sqrt((20 - 60)^2 + (80 - 20)^2)$ $\sqrt((-40)^2 + 60^2)$ $\sqrt(1600 + 3600)$ $\sqrt(5200)$

3. Lime

And then $\sqrt((20 - 85)^2 + (80 - 110)^2)$?

4. mathmate

Since the route T-U-V and T-V-U both use U-V, we know they are equal. So just compare which of T-U or T-V is shorter. one of them is sqrt(5200), and the other is sqrt(5125), so make your choice.

5. ashleyarnold

And what type of information do you need to find the shortest distance? and how can you use a diagram to help you?