Mathematics
Grade9
Easy

Question

Given a triangle ABC with ‘G’ as centroid.
Find BE.

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

hintHint:

Centroid divides the line joining the vertex of a triangle and the centroid into 2: 1 ratio.

The correct answer is: 6


    In any Triangle:
    Centroid G divides the line joining the centroid and vertices of a triangle into 2:1 ratio.
    >>>Given That:

    >>BG = 4
    >>we know BG = 2 over 3BE implies BE = 3 over 2BG. Then,
    BE = 3 over 2 cross times 4
    BE = 6
    >>>Therefore, the value of length of the median BE is 6 units.

    table attributes columnspacing 1em end attributes row cell B G equals 4 end cell row cell B G equals 2 over 3 B E end cell row cell B E equals 3 over 2 space cross times space 4 end cell row cell B E equals 6 end cell end table

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