Chapter 1.3, Problem 2ACYP

To determine

To find the distance.

Answer to Problem 2ACYP

Distance between points is $\sqrt{269}$ .

Explanation of Solution

Given information:

  $E(-5,6)$ and $F(8,-4)$

Formula used:

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

Calculation:

Let

  $x_1^{}=-5,x_2^{}=8$ and,

  $y_1^{}=6,$

  $y_2^{}=-4$

Substituting values,

  $EF=$$\sqrt{{(8-(-5))}^2+{(-4-6)}^2}$

Solving,

  $EF=\sqrt{{(8+5)}^2+{(-10)}^2}$

So,

  $EF=$$\sqrt{{(13)}^2+100}$

And $EF=\sqrt{169+100}$

  $EF=\sqrt{269}$

Hence, distance between points is $\sqrt{269}$ .