Paula Whitmire
Assignment 8
Altitudes and Orthocenters
Triangle BCD below has orthocenter
L constructed from the intersection of the three lines containing
the altitudes. The altitudes are perpendicular segments from the
vertices to the opposite sides.
Now we will find the orthocenter of
triangle LDC.
The orthocenter will be point B.
Now we will find the orthocenter of
triangle BLD. The orthocenter will be point C.
Now we will find the orthocenter of
triangle BLC and it is point D.
Now we construct the circumcenter of
triangle BCD. It is point T.
Now we construct the circumcircle of
triangle BCD with center T.
After much investigating, it was determined
that the circumcenters for the smaller triangles was outside this
triangle. Plus it is very late. Thanks again Dr. Wilson, I never
dreamed I would learn so much.
RETURN