Chapter 10.5, Problem 14WE

To determine

To draw:To divide the line segment in $w:y$ ratio.

Explanation of Solution

Given:

  

  $\overline{AB}=p$

The given line segments,

  

Now, the ratio $w:y$ has an arbitrary value. Let’s consider the value of their ration from the line segment provided,

  

  $\Rightarrow w:y=2:3$

Now dividing the line segment $\overline{AB}=p$ ,

   Now dividing the line segment $\overline{AB}=p$ in such a way that there ratio be $w:y=2:3$ ,

   Now simplifying the ratio of $w:y=8:12$

The ratio becomes,

  $\begin{array}{l}\Rightarrow w:y=8:12\\ \Rightarrow \frac{w}{y}=\frac{8}{12}\\ \Rightarrow \frac{w}{y}=\frac{2}{3}\end{array}$

So, the ratio of the line segment $\overline{AB}=p$ is having the same initial ratio of $w:y=2:3$

Conclusion:

Therefore, the above figure is the line segment in $w:y$ ratio.