document.write( "Question 818390: Explain how to find the orthocenter of a triangle. \n" ); document.write( "
Algebra.Com's Answer #492504 by richwmiller(17219)\"\" \"About 
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It where the the three altitudes meet.
\n" ); document.write( "so you need to find the altitudes of at least two of them
\n" ); document.write( "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
\n" ); document.write( "cosBcosC:cosCcosA:cosAcosB.
\n" ); document.write( "If the triangle is not a right triangle, then (-1) can be divided through by cosAcosBcosC to give
\n" ); document.write( "secA:secB:secC.
\n" ); document.write( "The orthocenter is Kimberling center X_4.
\n" ); document.write( "The following table summarizes the orthocenters for named triangles that are Kimberling centers.
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