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What is the purpose of an orthocenter?

Updated: 4/28/2022
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13y ago

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In short, the orthocenter really has no purpose.

There are 4 points of Concurrency in Triangles:

1) The Centroid - the point of concurrency where the 3 medians of a triangle meet. This point is also the triangle's center of gravity.

2) The Circumcenter - the point of concurrency where the perpendicular bisectors of all three sides of the triangle meet. This point is the center of the triangle's circumscribed circle.

3) The Incenter - the point of concurrency where the angle bisectors of all three angles of the triangle meet. Like the circumcenter, the incenter is the center of the inscribed circle of a triangle.

4) The Orthocenter - the point of concurrency where the 3 altitudes of a triangle meet. Unlike the other three points of concurrency, the orthocenter is only there to show that altitudes are concurrent. Thus, bringing me back to the initial statement.

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Q: What is the purpose of an orthocenter?
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Related questions

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.


Where is the orthocenter on an obtuse triangle?

An orthocenter on an obtuse triangle actually lies outside of the triangle. In an acute triangle, the orthocenter lies within the triangle.


The orthocenter of a triangle may lie outside the triangle since?

The orthocenter is the point where the altitudes of a triangle intersect. An orthocenter lies outside of a triangle only when the triangle is obtuse. If a triangle is acute, the orthocenter lies inside of the triangle.


Why is there a orthocenter?

There just is :)In all seriousness, all triangles (by definition) have an orthocenter and other points of concurrency. The definitions of an orthocenter is the place where the altitudes of all three sides intersect.


If a triangle is obtuse where is the orthocenter of the triangle found?

If a triangle is obtuse, the orthocenter of the triangle actually lies outside of the triangle. If the triangle is acute, the orthocenter of the triangle lies on the inside of the triangle


What is a real word application of the orthocenter?

It can be used with a triangular shape of sink (yes it exists ) the drain is the orthocenter . Google it.


What type of triangle has its orthocenter outside of the triangle?

The orthocenter of a triangle is found at the intersection of the three altitudes of the triangle. Obtuse triangles contain altitudes which are found outside of the triangle, meaning their orthocenter must be outside of the triangle as well.


The intersection of the altitudes of a triangle..?

ORTHOCENTER


What are the properties the orthocenter of a triangle?

Construct a scalene triangle and then from each of its vertices draw a straight line that is perpendicular to its opposite side and where these 3 straight lines intersect it is the orthocenter of the triangle. The position of the orthocenter can vary depending on what type of triangle it.


Does the orthocenter always lie outside of the triangle?

No.


The intersection of the altitudes of a triangle is called?

orthocenter


What is the intersection of the three altitudes of a triangle?

orthocenter