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Finding the unknown points of a second triangle

  1. May 31, 2012 #1
    1. The problem statement, all variables and given/known data
    Triangle A has three points a(2,3)b(0,0)c(2,0) and its center is (2/3,1). Find the other three points of Triangle B with a center of (4/3,3).


    2. Relevant equations
    Center of a triangle:
    x = ax+bx+cx /3
    y = ay+by+cy / 3

    Magnitude = <a,b> , √(a^2+b^2)

    3. The attempt at a solution
    1)Obtaining the vector of AB by subtracting the two center <4/3-2/3, 3-1> = <2/3,2>
    2)Magnitude of vector AB is (2*√10)/3
    3)Adding the magnitude to the three points of triangle A
    4)Check answer by calculating the center with the 3 new points, should match with the given center above.

    Step 4 is where I'm stuck, I can't get the same x center.
     
  2. jcsd
  3. Jun 1, 2012 #2

    Mark44

    Staff: Mentor

    How is triangle B related to triangle A?
     
  4. Jun 1, 2012 #3
    The relation is unknown.
     
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