Chapter 10.5, Problem 4WE

To determine

To divide: $\overline{AB}$ into two segments that have the ratio $3:4$.

Answer to Problem 4WE

  

Explanation of Solution

Given information: $\overline{AB}=15$ cm.

Calculation:

Let’s say point $P$ is dividing line $\overline{AB}$ in a ratio $3:4$

Therefore, $\frac{AP}{BP}=\frac{3}{4}$ .

  $\text{So, }AP=\frac{3}{4}BP$ .

Also, $AB=AP+BP=\frac{7}{4}BP,$

  $\Rightarrow BP=\frac{4AB}{7}=8.57\text{ cm}\text{.}$

And, $AP=\frac{3}{4}BP=6.43\text{ cm}\text{.}$