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Math Help - Construction help!

  1. #1
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    Construction help!

    1. Given the right triangle △ABC, construct the locus of all points, N in the interior of the triangle such that
    m∡NAC = m∡NCB.

    2. Given the right triangle △ABC, construct the point N in the interior of the triangle such that
    m∡NAC = m∡NCB = m∡NBA. You may continue building onto your work for #1.

    Thank you!
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  2. #2
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    Re: Construction help!

    It would be the intercept of the perpendicular bisector of the hypotenuse AC inside the triangle
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