Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get
[tex]JK^{2}= (-4+4)^{2}+ (8+1)^{2}=0+81=81[/tex]
[tex]KL^{2}= (-4-2)^{2}+ (8+-8)^{2}=36+0=36[/tex]
[tex]JL^{2}= (-4-2)^{2}+ (8+1)^{2}=36+81=117[/tex]
So we can say that
[tex]JK^2 + KL^2=JL^2[/tex]
By converse of pythagorean theorem we get
[tex]<K = 90°[/tex]
Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
