Chapter 10.5, Problem 10WE

To determine

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

Explanation of Solution

Given Information:

Given condition,

  $x=\frac{yp}{z}$

Given figure,

  

Calculation:

Construct a segment $x$ such that following condition holds true:

  $x=\frac{yp}{z}$

Draw, $\angle HIJ$

On $\overline{IJ}$ mark off $\overline{IR}=z$ and $\overline{RS}=p$ ,

On $\overline{IH}$ mark off $\overline{IT}=y$

Draw $\overline{RT}$ ,

Draw $\overline{SU}\parallel \overline{RT}$ where $U$ is the point of intersection.

Therefore, $\overline{TU}=x$ is such that $x=\frac{yp}{z}$ .