93
edits
Changes
Jump to navigation
Jump to search
Line 172:
Line 172: − == Orthocenter of a Triangle == − − From Greek: orthos - − "straight, true, correct, regular" The point where the − three altitudes of a triangle intersect. One of a triangle's points − of concurrency. − − − Try this Drag the − orange dots on any vertex to reshape the triangle. Notice the − location of the orthocenter. − − − − − − The altitude of a triangle (in the sense it used − here) is a line which passes through a vertex of the triangle and is − perpendicular to the opposite side. There are therefore three − altitudes possible, one from each vertex. See Altitude definition. − − − It turns out that all three altitudes always − intersect at the same point - the so-called orthocenter of the − triangle. − − The orthocenter is not always inside the triangle. − If the triangle is obtuse, it will be outside. To make this happen − the altitude lines have to be extended so they cross. Adjust the − figure above and create a triangle where the orthocenter is outside − the triangle. Follow each line and convince yourself that the three − altitudes, when extended the right way, do in fact intersect at the − orthocenter. Line 325:
Line 292: − − −
→Orthocenter of a Triangle
* Direct substitution
* Direct substitution
== Evaluation ==
== Evaluation ==