Chapter 9.4, Problem 10PSA

To determine

To Calculate: The length of PQ.

Answer to Problem 10PSA

The length of PQ is $13$

Explanation of Solution

Given information: Coordinates of P and Q are as follows:

P = $\left(1,8\right)$

Q = $(13,3)$

Formula used:Here, we are using distance formula.

Distance = $\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

Calculation: Here, the formula is

Distance = $\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

  $PQ=\sqrt{{(8-3)}^2+{(13-1)}^2}$

  $PQ=\sqrt{25+144}$

  $PQ=13$

Conclusion: Hence,the length of PQ is $13$