Mathematics
Grade9
Easy

Question

If G is the centroid of triangle ABC,

Find AG

  1. 7
  2. 8
  3. 9
  4. 10

hintHint:

Gentroid is the intersection point of all the three medians of a triangle

The correct answer is: 10


    table attributes columnspacing 1em end attributes row cell A G equals 3 x space plus space 7 end cell row cell A G space plus space G D equals 3 x space plus space 7 space plus space 4 x space plus space 1 end cell row cell A D space equals space 7 x space plus space 8 end cell row cell A G space equals space 2 over 3 space A D end cell row cell 3 x space plus space 7 space equals space 2 over 3 space left parenthesis 7 x space plus space 8 right parenthesis end cell row cell 9 x space plus space 21 space equals space 14 x space plus space 16 end cell row cell 5 x space equals space 5 end cell row cell X space equals space 1 end cell row cell A G equals 3 space cross times space 1 space plus space 7 end cell end table
    =10

    Centroid divides a median in the ratio 2:1

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