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Question:

pavelpimen
pavelpimen
Student
High School - 10th Grade

Find out the median of ABC triangle, which starts from vertex A, where A(1,2), B(2,3),C(2,-5).

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Posted by pavelpimen on Friday March 20, 2009 at 4:28 AM and tagged with math, median, points, triangle, vertex.

Answers:

  1. giorgiana1976
    giorgiana1976 Teacher
    Doctorate

    eNotes Editor

    Let's choose A1 as being the middle of the opposite side of A vertex, BC.

    The coordinates of A1 are:

    xA1=(xB+xC)/2=(2+2)/2=2

    yA1= (yB+yC)/2=(3-5)/2=-1

    In order to write the equation of the line AA1, we have to know also the slope mAA1=(yA1-yA)/(xA1-xA)

    mAA1= (-1-2)/(2-1)=-3

    The equation of the line which passes through the points AA1 and is the median of the side BC:

    y-yA=mAA1*(x-xA)

    Y-2=(-3)*(x-1)

    y-2+3x-3=0

    y+3x-5=0

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    Posted by giorgiana1976 on Friday March 20, 2009 at 11:18 AM