A man has strayed from his path while on his way to the park he moves 100km towards south m then another 40km towqrdswest he then travels 70km towards north and reafhes the park.what is the distance of the shortest possible route
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From the attached diagram, the man moved from A to B to C and finally to D, the park.
The shortest distance is AD
DE = BC = 40km
AE = 100 - 70 = 30 km
By Pythagoras theorem;
AD² = AE² + DE²
AD² = 30² + 40²
AD² = 900 + 1600
AD² = 2500
AD = 50
The shortest distance = 50 km
The shortest distance is AD
DE = BC = 40km
AE = 100 - 70 = 30 km
By Pythagoras theorem;
AD² = AE² + DE²
AD² = 30² + 40²
AD² = 900 + 1600
AD² = 2500
AD = 50
The shortest distance = 50 km
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