Math CentralQuandaries & Queries


Question from Gina, a parent:

I am trying to help my daughter with this, but I am very weak in Math.Please help!

Find slopes of the medians of a triangle whose vertices are P(1,3), Q(3,5), and R(6,2).

Hi Gina.

The median of a triangle is a line segment from a vertex to the midpoint of the opposite side. So you have two steps involved in this question:

  1. Find the midpoints of the sides. For example, the midpoint of P and Q is (xM, yM) = ( (1 + 3)/2, (3 + 5)/2 ) which is (2, 4).
  2. Then find the slope of the line between the opposite vertex and each midpoint. For example, the median from R has slope (yR - yM) / (xR - xM) = (2 - 4) / (6 - 4) = -2 / 2 = -1.

Do this for the other two medians as well.

Hope this helps,
Stephen La Rocque.

About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS