Chapter 7, Problem 23AR

To determine

To find: Positive value of $x.$

Answer to Problem 23AR

Positive value of $x$ is $12.$

Explanation of Solution

Given information: $5^2+x^2={13}^2$

Calculation:

We have given:

  $5^2+x^2={13}^2$

Find values of squares.

  $\Rightarrow 25+x^2=169$

Subtract $25$ from both side.

  $\Rightarrow x^2=169-25$

  $\Rightarrow x^2=144$

Take square root on both sides.

  $\Rightarrow x=\pm \sqrt{144}$

  $\Rightarrow x=\pm 12$

But $x$ is positive number.

  $\therefore x=12$

Conclusion:

Therefore, the positive value of

  $x$ is $12.$