ana3640
ana3640 ana3640
  • 04-12-2020
  • Mathematics
contestada

Find the length of FE
Please explain it, I'm a little lost.
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Find the length of FEPlease explain it Im a little lost class=

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LammettHash
LammettHash LammettHash
  • 04-12-2020

The centroid (the point where the medians meet) divide each median into parts with lengths in a ratio of 2:1. This means 7x + 1 is twice the length of 3x + 4, or

7x + 1 = 2 (3x + 4)

Solve for x :

7x + 1 = 6x + 8

7x - 6x = 8 - 1

x = 7

Then XE has length

XE = 4•7 - 2 = 28 - 2 = 26

FX is twice this length, so

FX = 2•26 = 52

and so FE has length

FE = FX + XE = 52 + 26 = 78

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