Question

Two points in a rectangular coordinate system have the coordinates (5.0, 3.0) and (3.0, 4.0), where the units are centimeters. determine the distance between these points.

Answer 1

Give ntwo points A(5,3) and B(3,4) you can find distance between these points using formula

$AB=\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}.$

Then

$AB=\sqrt{(5-3)^2+(3-4)^2}=\sqrt{2^2+(-1)^2}=\sqrt{4+1}=\sqrt{5}$ cm.

Answer: $\sqrt{5}$ cm.