Results 1 to 2 of 2

Math Help - Length of Triangle Medians

  1. #1
    Newbie dizzycarly's Avatar
    Joined
    Jun 2009
    Posts
    9

    Length of Triangle Medians

    I need help with my homework

    The triangle PQR has the following coordinates, P(-2,4) Q(-4,-4) R(6,0)
    Calculate the thre medians of the triangle using the midpoint fomula.

    Fomula: M = (x1+x2/2), (y1+y2/2)

    Can you help me out?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    May 2009
    Posts
    527
    You start by using the midpoint formula three times. First, find the midpoint of PQ. Let (x1, y1) be P(-2, 4) and let (x2, y2) be Q(-4, -4):

    \begin{aligned}<br />
M_{PQ} &= \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \\<br />
&= \left(\frac{-2 + (-4)}{2}, \frac{4 + (-4)}{2}\right) \\<br />
&= (-3, 0)<br />
\end{aligned}

    You have two points to find the equation of this median M_{PQ} (-3, 0) and R(6, 0). Find the slope, use point-slope form or slope-intercept form to find this equation. You'll see that the equation is y = 0.


    Repeat the process to find the midpoint of QR. Let (x1, y1) be Q(-4, -4) and let (x2, y2) be R(6,0). Find the equation of the line between M_{QR} and P. Then do it one last time for PR, and find the equation of the line between M_{PR} and Q.


    01
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Triangle and Perpendicular medians
    Posted in the Geometry Forum
    Replies: 2
    Last Post: June 17th 2011, 03:35 PM
  2. Vector addition triangle medians
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 16th 2010, 07:30 PM
  3. Concurrency of triangle medians.
    Posted in the Geometry Forum
    Replies: 1
    Last Post: September 8th 2010, 01:11 PM
  4. Medians of a triangle
    Posted in the Geometry Forum
    Replies: 2
    Last Post: November 1st 2009, 02:11 AM
  5. Replies: 1
    Last Post: December 27th 2008, 08:38 PM

Search Tags


/mathhelpforum @mathhelpforum