Math. Urgent please help

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ABC is an isosceles triangle. If AB =AC =16, BC=8. D is the midpoint of side AC , and G is the centroid of triangle ABC , find BD .

  • Math. Urgent please help -

    Anyone please help. I really don't know how to solve this questione

  • Math. Urgent please help -

    draw the altitude from A to form a right-angled triangle.
    Cos C = 4/16 = 1/4

    In triangle BCD, by the cosine law ...
    BD^2 =8^2 + 8^2 - 2(8)(8)cosC
    = 64 +64 - 128(1/4)
    = 160
    BD = √160 = 4√10

    Where does the centroid G enter the picture?

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