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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.
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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 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.
Which triangle has its orthocenter ON the triangle?
An equilateral triangle perhaps depending on your meaning of 'ON 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.
The intersection of the altitudes of a triangle..?
ORTHOCENTER
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.
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 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.
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.
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.
Which triangle has its orthocenter ON the triangle?
An equilateral triangle perhaps depending on your meaning of 'ON the triangle'
The intersection of the altitudes of a triangle..?
ORTHOCENTER
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.
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.
