FraidaH386736 FraidaH386736
  • 29-10-2022
  • Mathematics
contestada

If G is the centroid of triangle ACE, AG = 8, GF = 7, BG = 5, find each measure.

If G is the centroid of triangle ACE AG 8 GF 7 BG 5 find each measure class=

Respuesta :

MelenaD112097 MelenaD112097
  • 29-10-2022
Answer:

GD = 4

AD = 12

CG = 14

GE = 10

BE = 15

Explanation:

Because G is the centroid, then the following are correct

CG : GF = 2 : 1

AG : GD = 2 : 1

GE : BG = 2 : 1

So to find

GD, given AG = 8, we have:

8/GD = 2/1

GD = 8/2 = 4

AD = AG + GD

= 8 + 4

= 12

CG/GF = 2/1

CG/7 = 2/1

CG = 14

GE/BG = 2/1

GE/5 = 2/1

GE = 10

BE = GE + BG

= 10 + 5

= 15

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