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Identify the distance between the points (9,7,3) and (5,3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.

Sagot :

Using it's formula, it is found that the distance between the two points is of 5.7 units. Additionally, the midpoint is (7, 5, 2.5).

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are (9,7,3) and (5,3,2), hence:

[tex]D = \sqrt{(9 - 5)^2 + (7 - 3)^2 + (3 - 2)^2} = 5.7[/tex]

The distance between the two points is of 5.7 units.

What is the midpoint?

The midpoint is the mean of the coordinates, hence:

  • xM = (9 + 5)/2 = 7.
  • yM = (7 + 3)/2 = 5.
  • zM = (3 + 2)/2 = 2.5.

The midpoint is (7, 5, 2.5).

More can be learned about the distance between two points at https://brainly.com/question/18345417

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