Chapter 1.3, Problem 22PPS

To determine

To find the distance.

Answer to Problem 22PPS

Distance between points is 5 units.

Explanation of Solution

Given information:

  $U(2,3)$ and $V(5,7)$

Formula used:

Distance between pair of points= $\sqrt{{(x_2^{}-x_1^{})}^2+{(y_2^{}-y_1^{})}^2}$

Calculation:

Let

  $x_1^{}=2,x_2^{}=5$ and,

  $y_1^{}=3,y_2^{}=7$

Substituting values,

  $UV=$$\sqrt{{(5-2)}^2+{(7-3)}^2}$

Solving,

  $UV=\sqrt{{(3)}^2+(4^2})$

So,

  $UV=\sqrt{9+16}$

And $UV=\sqrt{25}$

Hence, distance between points is 5 units.