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Math Help - Distance between Coordinates

  1. #1
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    Exclamation Distance between Coordinates

    Coordinate A (X=482, Y=81)
    Coordinate B (X=485, Y=83)
    Coordinate C (X=484, Y=85)
    Coordinate D (X=486, Y=87)
    Coordinate E (X=483, Y=88)
    Coordinate F (X=486, Y=89)

    Distance between A and B = 3.6 miles
    Distance between A and C = 4.5 miles
    Distance between A and D = 7.2 miles

    1. What is the distance between A & E?
    2. What is the distance between A & F?
    3. What is the distance between B & D?

    Apart from answering, please also explain the forumulas used for calculating the distances.

    Thanks,
    Evony Cruz
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by evonycruz View Post
    Coordinate A (X=482, Y=81)
    Coordinate B (X=485, Y=83)
    Coordinate C (X=484, Y=85)
    Coordinate D (X=486, Y=87)
    Coordinate E (X=483, Y=88)
    Coordinate F (X=486, Y=89)

    Distance between A and B = 3.6 miles
    Distance between A and C = 4.5 miles
    Distance between A and D = 7.2 miles

    1. What is the distance between A & E?
    2. What is the distance between A & F?
    3. What is the distance between B & D?

    Apart from answering, please also explain the forumulas used for calculating the distances.

    Thanks,
    Evony Cruz
    1. If you want to calculate the distance between the points P_1(x_1, y_1) and P_2(x_2, y_2) use the formula:

    d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

    which is nothing but an application of Pythagorean theorem.

    2. Plug in the coordinates - and you are done!
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  3. #3
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    Thanks I think I learnt Pythagorean theorem more than 15 years back. Time flies and memories fade out ...
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