Chapter 10.5, Problem 12WE

To determine

To construct a segment that has length $x$ satisfying the given condition.

Answer to Problem 12WE

  $x=10.03$ centimeters

Explanation of Solution

Given:

Four line segments.

  

Given condition: $x=\sqrt{3wz}$

Calculation:

Draw the four segments roughly as long as those given.

  

Measure the segments drawn,

  $w=4.8$ centimeters

  $y=3.44$ centimeters

  $z=6.99$ centimeters

  $p=13.86$ centimeters

Now,

  $x=\sqrt{3wz}$ (given)

Putting the values,

  $\Rightarrow x=\sqrt{3(4.8)(6.99)}$

  $\Rightarrow x=10.03$

Therefore, $x=10.03$ centimeters

Now draw a line segment of length 10.03 centimeters.

  

Conclusion:

Therefore, the line segment $x$ is of length 10.03 centimeters.