BADGIRL19839
BADGIRL19839 BADGIRL19839
  • 12-12-2020
  • Mathematics
contestada

G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.

G is the centroid of AABC FC 35 AG 42 BF 57 and DG 14 Find BG class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 17-12-2020

Answer:

[tex] BG = 38 [/tex]

Step-by-step explanation:

Based on centroid theorem of triangles:

[tex] BG = \frac{2}{3} \times BF [/tex]

[tex] BF = 57 [/tex]

Plug in the value into the equation

[tex] BG = \frac{2}{3} \times 57 [/tex]

[tex] BG = \frac{2 \times 57}{3} [/tex]

[tex] BG = \frac{114}{3} [/tex]

[tex] BG = 38 [/tex]

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