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Pythagorean Theorem

A man travels...

Question

A man travels $12$ km West, then $3$ km towards South and then $8$ km towards East. How far is he from the start?

A

23

km

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B

20

km

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C

15

km

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D

5

km

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Solution

The correct option is D $5$ km
To get the distance between start and end i.e A and E, we use the Pythagoras theorem. In triangle ABE, $(AB)^{2}+(BE)^{2}=(AE)^{2}$ ; $4^{2}+3^{2}=x^{2}$ . So, we get x = 5, which the distance between start and end.

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