   Chapter 7.CR, Problem 25CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Given: Δ A B C (in Exercise 24 ) with medians A E , ¯ C D , ¯ B F ¯ A G = 2 x + 2 y , G E = 2 x − y B G = 3 y + 1 , G F = x Find: B F and A E

To determine

To find: BF and AE.

Explanation

Given:

The triangle ABC with medians AE¯,CD¯,BF¯, AG=2x+2y,GE=2xy,BG=3y+1,GF=x

The point G divides the median in the ration 2:1.

Calculation:

From the figure,

AGGE=212x+2y2xy=212x+2y=4x2y2x4y=0x2y=0 ...(1)

From the figure,

BGGF=213y+1x=213y+1=2x2x3y=1

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