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Math Help - Isosceles triangle with a base of 12 units, locus of points?

  1. #1
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    Isosceles triangle with a base of 12 units, locus of points?

    There is an isosceles triangle with a base of 12 units. Find the locus of points that are 6 units from the midpoint on the line.

    I had that problem on my test and I'm getting paranoid about my answer. Thanks for any help!
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  2. #2
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    Hello, ilikewhoa!

    What is the original wording of the problem?


    There is an isosceles triangle with a base of 12 units.
    Find the locus of points that are 6 units from the midpoint on the line.
    . . What line?

    If it refers to the midpoint of the base, why mention the triangle at all?


    We have a line segment 12 units long.

    The locus of points 6 units from its midpoint is a circle:
    . . center at the midpoint, radius 6 units.

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