Hello, Iux213!

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?