Chapter 16.5, Problem 1PS

To determine

To find: The ratio of BF and FD.

Answer to Problem 1PS

The ratio of BF and FDis $10:3$ .

Explanation of Solution

Given information:

In the given figure, AE is a median of $\Delta \text{ABC}$ and $AD:DC=3:7$ .

The given figure is,

  

Assign the ratios and the weights as shown below,

  

The ratio of BF and FDis calculated as by using mass point procedure at B and D,

  $\begin{array}{l}{w}_1\left(BF\right)=w_2\left(FD\right)\\ \frac{BF}{FD}=\frac{w_2}{w_1}\\ \frac{BF}{FD}=\frac{10}{3}\end{array}$

Thus, the ratio of BF and FD is $10:3$ .