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A Triangle's Orthocenter

No, it can be outside the triangle.

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14y ago
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Q: Is the orthocenter of a triangle always inside the triangle?
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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.


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


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.


Do the altidudes of a triangle always meet in the interior of the triangle?

In a obtuse triangle, the point of concurrency, where multiple lines meet, of the altitudes, called the orthocenter, is outside the triangle. In a right angle, the orthocenter lies on the vertex (corner) of the right angle. In an acute angle, the orthocenter lies inside the triangle.


Does the orthocenter always lie outside of the triangle?

No.


What are the characteristics of orthocenter?

The orthocenter of a triangle is the point where the altitudes of the triangle intersect. It may lie inside, outside, or on the triangle depending on the type of triangle. In an acute triangle, the orthocenter lies inside the triangle; in a right triangle, it is at the vertex opposite the right angle; and in an obtuse triangle, it is outside the triangle.


What may fall outside a triangle?

The orthocenter may fall outside of a triangle. The orthocenter usually lies within the inside the triangle. However this is only the case if the triangle is acute.


If an orthocenter lies inside of a triangle then the triangle must be?

It must be acute angled.


Where can the orthocenter be found in relation to the triangle?

inside-acute,on the triangle-right,outside-obtuse


When is the orthocenter inside on or outside of the triangle?

Inside: acute angled triangleOn: right angled triangle Outside: obtuse angled triangle.


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.


What is the orthocenter of a triangle?

The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude extends from a vertex (i.e. corner of the triangle) to the side opposite of it, and is perpendicular either to the side of the triangle, or to its extension. The three altitudes of a triangle are always concurrent (intersect at the same point). This point is known as the orthocenter, and always falls on the Euler Line with the centroid, circumcenter, and the center of the triangle's nine-point circle.