Given with vertices
Vverify that one median of the triangle is perpendicular to one of the sides.
I keep coming up with a decimal answer for the slope of the median.
Of course, you do . . . You're using your calculator, aren't you?
If you make a sketch, you'll see that the likely candidate
. . is the median from vertex to side
The slope of is: .
The midpoint of is: .
Thje slope of is: .
. . . Got it?