Question 818390: Explain how to find the orthocenter of a triangle.
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! It where the the three altitudes meet.
so you need to find the altitudes of at least two of them
The intersection H of the three altitudes AH_A, BH_B, and CH_C of a triangle is called the orthocenter. The name was invented by Besant and Ferrers in 1865 while walking on a road leading out of Cambridge, England in the direction of London. The trilinear coordinates of the orthocenter are
cosBcosC:cosCcosA:cosAcosB.
If the triangle is not a right triangle, then (-1) can be divided through by cosAcosBcosC to give
secA:secB:secC.
The orthocenter is Kimberling center X_4.
The following table summarizes the orthocenters for named triangles that are Kimberling centers.
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