Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
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Question
Chapter 16.5, Problem 1PS
To determine

To find: The ratio of BF and FD.

Expert Solution & Answer
Check Mark

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 ΔABC and AD:DC=3:7 .

The given figure is,

  Geometry For Enjoyment And Challenge, Chapter 16.5, Problem 1PS , additional homework tip  1

Assign the ratios and the weights as shown below,

  Geometry For Enjoyment And Challenge, Chapter 16.5, Problem 1PS , additional homework tip  2

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

  w1(BF)=w2(FD)BFFD=w2w1BFFD=103

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

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