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Math Help - Have length and midpoint co-ordinates find endpoint?

  1. #1
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    Have length and midpoint co-ordinates find endpoint?

    length is square root of 8
    midpoint is (3,5)

    try and explain as simple as possible please
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  2. #2
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    Hello, CrazyJax!

    We're missing some information.


    length is square root of 8
    midpoint is (3,5)

    There are infinitely many answers.
    Here's one of them . . .


    Code:
              | 
              |          *(4,6)
              |         /
              |        /
              |       *(3,5)
              |      /
              |     /
              |    *(2,4)
              |
          - - + - - - - - - - -
              |
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  3. #3
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    Quote Originally Posted by CrazyJax View Post
    length is square root of 8
    midpoint is (3,5)

    try and explain as simple as possible please
    All endpoints are placed on a circle with center M(3, 5) and radius r = \dfrac12 \cdot \sqrt{8} = \dfrac12 \cdot 2\sqrt{2} = \sqrt{2}

    If the endpoint is P(x, y) then the locus of all endpoints is:

    (x-3)^2+(y-5)^2=2
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