Answer:
-1/2x+y-8=0, y-0, 7/6x+y-6=0
Step-by-step explanation:
First we find the slope of side AB:
6-0/0-(-3) =2
Altitude CD is perpendicular to AB:
slope of CD=-1/slope of AB = -1/2
Since the altitude CD passes through the point C(4, 6), using the point-slope form of the equation of a line, the equation of CD is:
y-6= -1/2*(x-4)
-1/2x+y-8=0
This is the required equation of the altitude from C to AB. The rest of the equations are solved in the same way. Good luck!
