Question

A track in a national park has four legs from its starting point to its return. The first leg travels due east. The second, third and fourth legs follow paths southwest, due north and finally due east back to the starting point. If the distances of the first two legs are 1.5 km and 3.5 km respectively, what distances are the third and fourth legs, correct to 2 decimal places?

Answer 1

leg2 goes 3.5/√2 south and 3.5/√2 west
So leg 3 goes 3.5/√2 north
leg4 goes 3.5/√2 - 1.5 east