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Math Help - Coordinate geometry question...

  1. #1
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    Coordinate geometry question...

    Given:
    Line segment AB has endpoints (6,9) and (9,9)
    Line segment AC has endpoints (6,9) and (6,13)
    Calculate the length of Line segment connecting points B and C

    This could be done by simply applying the pythagorean theorem right? Since the length of AB is 3 and the length of AC is 4
    AB^2 + AC^2= BC^2, so 3^2 + 4^2= BC^2
    Then, 9+16=BC^2
    =25=BC^2
    taking the sq rt of both sides gives BC=5
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  2. #2
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    you are right .
    Alternatively,
    Since the coordinates of the point C is(6,13) and B is (9,9) ,we can make use of distance formula to find the length of BC which is equal to (under root(13-9)^2 + (9-6)^2) which amounts to 5.
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  3. #3
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    Or...

    Since AB is a horizontal segment, just subtract the x coordinates to get the distance.

    Since AC is a vertical segment, just subtract the y coordinates to get the distance.
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