Question

Which of the following is equivalent to the distance between the points (3,2) and (2,0)?

Answer 1

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

 $|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2} }$

Thus, the distance between points (3,2) and (2,0) is:

$d= \sqrt{ (3-2)^{2} + (2-0)^{2}}=\sqrt{1 + 4}= \sqrt{5}$


Answer: $\sqrt{5}$ units