Answer:
Step-by-step explanation:
Slope of KL = (1-0)/(-3-0) = -⅓
Slope of JL = (3-0)/(1-0) = 3
The product of the slopes is -1, so L is a right angle. The orthocenter of a right triangle lies ON the triangle at the vertex of the 90° angle. Coordinates of orthocenter: (0,0)
:::::
DE is horizontal, so its altitude to F is the vertical line x=1. The altitude does not intersect segment DE, so the triangle is obtuse. The orthocenter of an obtuse triangle lies OUTSIDE of the triangle.
Slope of DF = (-2-2)/(-3-1) = 1
Altitude to E(-2,-2):
y+2 = -1(x+2)
y = -x-4
Orthocenter is Intersection of altitudes: =(1,-5).
