Answer
distance between the two points = $\sqrt{13}$
midpoint of the segment that joins the points: $(1.5, 1)$
Work Step by Step
RECALL:
(i) The distance, d, between the points (a, b) and (c, d) can be found using the distance formula:
$\\d=\sqrt{(a-c)^2+(b-d)^2}$
(ii) The midpoint of the points (a, b) and (c, d) can be found using the midpoint formula:
$\\\text{midpoint} = \left(\frac{a+c}{2}, \frac{b+d}{2}\right)$
The two points are (0, 2) and (3, 0).
Use the formulas above to have:
(a) distance between the two points:
$=\sqrt{(0-3)^2+(2-0)^2}
\\=\sqrt{9+4}
\\=\sqrt{13}$
(b) midpoint of the segment that joins them:
$\\=\left(\frac{0+3}{2}, \frac{2+0}{2}\right)
\\=(1.5, 1)$
