Mr X runs a marathon from point A. He runs 5 km north to B, then turns right and runs 6 km to C, turns right and runs 8 km to D, turns right and runs 10 km to E, turns right and runs 6 km to F, turns right and runs 1 km to G, turns right and runs 3 km to H. What is the shortest distance between A and H?
3 km
Place A at origin.
Right turns cycle N→E→S→W→N.
Positions: A(0,0)→B(0,5)→C(6,5)→D(6,-3)→E(-4,-3)→F(-4,3)→G(-3,3)→H(-3,0).
Distance AH = √((-3)² + 0²) = 3 km.
Hence, 3 km.
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What is the distance between the starting point and the end point?
