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Oh, dude, the orthocenter of a triangle got its name because it's where the altitudes of the triangle intersect. It's like the center of gravity for altitudes, you know? So, "ortho" means perpendicular in Greek, and since the altitudes are perpendicular to the sides of the triangle, they just called it the orthocenter. Cool, right?
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Devin``Orthocentre'' was invented by two mathematicians, Besant and Ferrers, in 1865, while out for a walk along the Trumpington Road, a road leading out of Cambridge toward London. In those days it was a tree-lined quiet road with a sidewalk, a favourite place for a conversational walk."
From Mathematical Gazette, Feb 1962, pp 51
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How do you find orthocenter?
You find the orthocenter by constructing the altitudes from the vertices in a triangle. If the triangle is obtuse, the orthocenter will fall outside the triangle. If the triangle is acute, the orthocenter will fall on the inside of the triangle. If the triangle is a right triangle, the orthocenter will lie on a vertix.
What is the name of the point at which all of a triangle's altitudes converge?
orthocenter
What is an orthocentre and where it is located for an obtuse right and a right angled triangles?
On an obtuse triangle the orthocenter is located on the outside of the triangle and the orthocenter of the right triangle is located at the vertex of the triangle ...
Is the orthocenter of a triangle always inside the triangle?
A Triangle's OrthocenterNo, it can be outside the triangle.
The orthocenter of a triangle may lie outside the triangle since the altitude may not intersect any side of the triangle?
The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the sides of the triangle.
