Question

50 points! Please help you guys! I will mark brainliest and random answers will be reported

Answer 1

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).