Hello all,

I am new here. Questions like this have been asked before but mine is very specific and I cannot find an answer.

I have the following problem to solve:

Determine the point that is equidistant from the points A(-1,7), B(6,6) and C(5,-1).
The text I am using includes answers, and the answer provided is point (52/25), (153/50). I created a point D(x,y) and plugged the numbers into the

distance formula to get AD, BD, and CD. I then created

systems of equations setting AD=BD and BD=CD to solve for both variables x and y and I get the answer (2,3), which is close to the answer the text provides but not exact.

I am very confused; if the coordinates for D are (2,3) as I have determined, then it seems that AD, BD, and CD all equal 5, so how could (2,3) not be equidistant? Please kindly explain how to arrive at the apparently correct answer of (52/25, 153/50). Have I done this all wrong?

Thank you for taking the time to read and thanks in advance for any assistance.

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