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10-6.

Determine the distance between each of the following pairs of points.  

  1. and

    Plot the points and use them to create a right triangle where the segment connecting the points is the hypotenuse. Determine the lengths of the legs, then use the Pythagorean Theorem to calculate the distance between the points.

  1. and

    Right triangle, vertex opposite vertical leg, labeled as ordered pair, (5, comma 2), vertex opposite horizontal leg, labeled as ordered pair, (x, comma y), vertical leg labeled, absolute value of quantity, y minus 2, horizontal leg labeled, absolute value of quantity, x minus 5.