Question

the distance between the points 3 -2 and -3 2 is​

Answer 1

The distance between the two points (3, - 2) and (- 3, 2) is $2\sqrt{13}$ units.

Formula to know:

The distance between the two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by

$d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

Step-by-step explanation:

The given two points are (3, - 2) and (- 3, 2).

Using the distance formula between two points, we find the required distance between them

= $\sqrt{\{3-(-3)\}^{2}+(-2-2)^{2}}$ units

= $\sqrt{(3+3)^{2}+(-2-2)^{2}}$ units

= $\sqrt{6^{2}+4^{2}}$ units

= $\sqrt{36+16}$ units

= $\sqrt{52}$ units

= $\sqrt{2\times 2\times 13}$ units

= $2\sqrt{13}$ units

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Answer 2

Answer:

the distance between the point -3,2 and -2,3 = √52 units