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A person starts from his home for collecting money from various shops A,B,C,D and E. After collecting money from shop A, he reaches shop B which is 12m to the west of shop A. Then he took a left turn to reach shop C which is 5m from shop B. Again he took two consecutive left turns, where he gets to go through the midpoint of shop A and shop B. Finally he reaches the shop E which is 3m North from the midpoint of shop A and shop B. What is the shortest distance between shop C and shop E?

A person starts from his home for collecting money from various shops A,B,C,D and E. After collecting money from shop A, he reaches shop B which is 12m to the west of shop A. Then he took a left turn to reach shop C which is 5m from shop B. Again he took two consecutive left turns, where he gets to go through the midpoint of shop A and shop B. Finally he reaches the shop E which is 3m North from the midpoint of shop A and shop B. What is the shortest distance between shop C and shop E? Correct Answer 10m

Drawing the diagram,

The distance between shop C and shop E = √62 + 82 = √100 = 10

Hence, “10 m” is the correct answer.

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