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Find the distance between the points (10,8)(10,8) and (10,2)(10,2).\newline____ units

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Full solution

Q. Find the distance between the points (10,8)(10,8) and (10,2)(10,2).\newline____ units
  1. Apply distance formula: Step 11: Apply the distance formula (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}.\newlineGiven points (x1,y1)=(10,8)(x_1, y_1) = (10, 8) and (x2,y2)=(10,2)(x_2, y_2) = (10, 2).\newlineCalculate (x2−x1)2(x_2-x_1)^2: (10−10)2=02=0(10-10)^2 = 0^2 = 0
  2. Calculate squared differences: Step 22: Calculate (y2−y1)2(y_2-y_1)^2: (2−8)2=(−6)2=36(2-8)^2 = (-6)^2 = 36
  3. Compute square root: Step 33: Compute the square root of the sum of squares from previous steps: 0+36=36=6\sqrt{0 + 36} = \sqrt{36} = 6

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