Practice: Distance on the Coordinate Plane: Pythagorean Formula

The coordinates of the points 𝐴, 𝐵, and 𝐶 are (𝐾,−2), (2,8), and (−9,6) respectively. Given that 𝐴𝐵=𝐵𝐶, find all possible values of 𝐾.

  • A𝐾=−3 or 𝐾=7
  • B𝐾=3 or 𝐾=7
  • C𝐾=−3 or 𝐾=−7
  • D𝐾=3 or 𝐾=−7

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