Mathematics
Grade9
Easy

Question

In the given figure G is the centroid, if GE = 4 units, AD = 12 units, CF = 14 units. Find BG

  1. 4
  2. 8
  3. 12
  4. 6

hintHint:

In the given triangle G is the centroid that means it divide the median BE in the ratio 2:1 also GE is given so we can now find the value of BG.

The correct answer is: 8


    We know that in a triangle a centroid divides the median in the ratio 2:1.
    table attributes columnspacing 1em end attributes row cell B G space equals space 2 over 3 B E horizontal ellipsis text  (1)  end text end cell row cell G E space equals space B E space minus space B G end cell row cell 4 space equals space B E space minus space B G end cell row cell B E space equals space 4 space plus space B G horizontal ellipsis left parenthesis 2 right parenthesis end cell row cell text  Substitute (2) in (1)  end text end cell row cell B G space equals space 2 over 3 space left parenthesis 4 space plus space B G right parenthesis end cell row cell 3 B G space equals space 8 space plus space 2 B G end cell row cell B G space equals space 8 end cell end table

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