Chapter 1.3, Problem 30PPS

To determine

To find the distance.

Answer to Problem 30PPS

Distance between points is $\sqrt{29}$ .

Explanation of Solution

Given information:

  $C(5,1)$ and $D(3,6)$

Formula used:

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

Calculation:

Let

  $x_1^{}=5,x_2^{}=3$ and,

  $y_1^{}=1,y_2^{}=6$

Substituting values,

  $CD=\sqrt{{(3-5)}^2+{(6-1)}^2}$

Solving,

  $CD=\sqrt{{(-2)}^2+{(5)}^2}$

So,

  $CD=\sqrt{4+25}$

And $CD=\sqrt{29}$

Hence, distance between points is $\sqrt{29}$ .