Chapter 1.3, Problem 21PPS

To determine

To find the distance.

Answer to Problem 21PPS

Distance between points is.

Explanation of Solution

Given information:

  $S(-3,2)$ and $T(4,5)$

Formula used:

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

Calculation:

Let

  $x_1^{}=-3,x_2^{}=4$ and,

  $y_1^{}=2,y_2^{}=5$

Substituting values,

  $ST=$$\sqrt{{(4-(-3))}^2+{(5-2)}^2}$

Solving,

  $ST=\sqrt{{(7)}^2+(3^2})$

So,

  $ST=$$\sqrt{49+9}$

And $ST=\sqrt{58}$

Hence, distance between points is $\sqrt{58}$ .