geometry

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Point E is the centroid of triangle ABC. Find DB.

AF = 10x=3
EF = 2x+5
EB = 4x+3

This is for median of triangles.

  • geometry -

    You have probably learned that the centroid divides a median in the ratio of 2:1, with the longer side towards the vertex.

    I will assume that the median is AF, and you meant
    AF = 10x + 3

    so AF : EF = 2:1
    (10x+3)/(2x+5) = 2/1
    crossmultiply
    10x + 3 = 4x + 10
    6x = 7
    x = 7/6

    Not enough information to find DB.
    Was the triangle isosceles or equilateral?

  • geometry -

    Triangle is isosceles.

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