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## Lime Group Title 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? 2 years ago 2 years ago

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1. mathmate Group Title

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

2. Lime Group Title

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

3. Lime Group Title

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

4. mathmate Group Title

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.