Question

Find the equations of the medians of the triangle with vertices at (2,0) , (3,2) and (4, -3). where do they intersect?

Answer 1

Well, this is a little long one, but let's first think what the median of a triangle is.
The median of a triangle, is the line that contains the mispoint and the opposite vertice of any of the sides.

So, we have to find the midpoints of two of the sides using the form:
\[Q(\frac{ x_1 + x_2 }{ 2 }, \frac{ y_1 + y_2 }{ 2 })\]

Answer 2

@Owlcoffee how can we get where they intersect?

Answer 3

Now that you have the mispoints, you can find the medians by taking the midpoints you found and the opposite vertice of the segment that cointains the mid-point.

Answer 4

what is the formula for a median?