A point B is 25√2 m away along North-East direction from A. Another point C is 50 m distant along West direction from B. The end point D is 50√2 m away along South-East direction from C. Then the distance (in meters) between points B and D is

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  1. 50√2
  2. 50
  3. 25
  4. 25√2

Answer (Detailed Solution Below)

Option 2 : 50
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Detailed Solution

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Given:

A point B is 25√2 m away along North-East direction from A.

Another point C is 50 m distant along West direction from B.

The end point D is 50√2 m away along South-East direction from C.

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By applying Pythagoras Theorem:

(BD)2 = (ED)2 + (EB)2

(BD)2 = (50√2 ÷ 2)2 + (25√2)2

(BD)2 = (25√2)2 + (25√2)2

(BD)2 = 1250 + 1250

BD = √2500

BD = 50 m

Thus, the distance between points B and D is 50 m.

Hence, "Option 2" is the correct answer.

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