The triangle has the following coordinates: A(-14, 11), B(3, 4) and C(10, 11)
Point D is the middle of the side AB.
Plug the coordinates of A and B into the Midpoint Formula
to find the point D in the "middle" of side AB.
Line l goes through the point D is perpendicular to the side AB.
How to find the equation of the line l.
Plug the coordinates of A and B into the slope formula
to find the slope of the line through A and B. Then remember that the perpendicular slope is the negative reciprocal (you flip the old slope, and change the sign).
Now that you have the coordinates of D and the slope of the perpendicular line, plug these into one of the straight-line equations
, such as the point-slope formula.
If you get stuck, please reply showing your steps and reasoning. Thank you!