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What do you call the intersection of the 3 altitudes of a trialgle?
The point where the three altitudes of a triangle intersect is called the orthocenter. This can be located either inside or outside of the triangle.
Is it true that the point of concurrency of any triangle only happens inside the triangle?
Depends on the point of concurrency of what. The point of concurrency of altitudes will be outside in any obtuse triangle.
The orthocenter of a triangle may lie outside the triangle because the altitude does not necessairly intersect the of the triangle?
The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle. * * * * * No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.
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 is The incenter of a triangle falls outside of its triangle?
The incenter of a triangle is the point at which the 3 medians (lines from the vertex to the middle of the side opposite the vertex) of the triangle intersect. Per it's definition, the incenter cannot ever fall outside the triangle. On the other hand, the orthocenter (intersection of the altitudes) can. It does so whenever the triangle is obtuse.
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.
In which triangle do the three altitudes intersect outside of the triangle?
Obtuse Triangle
In which triangle do the three altitudes intersect outside the triangle?
Obtuse Triangle
What do you call the intersection of the 3 altitudes of a trialgle?
The point where the three altitudes of a triangle intersect is called the orthocenter. This can be located either inside or outside of the triangle.
The lines containing the altitudes of a triangle are concurrent at this point?
The point where the altitudes of a triangle intersect is called the orthocenter. This point is concurrent, meaning the three altitudes intersect at this single point inside or outside the triangle. The orthocenter is different from the centroid, circumcenter, and incenter of a 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.
Is it true that the point of concurrency of any triangle only happens inside the triangle?
Depends on the point of concurrency of what. The point of concurrency of altitudes will be outside in any obtuse triangle.
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.
The orthocenter of a triangle may lie outside the triangle because the altitude does not necessairly intersect the of the triangle?
The orthocenter of a triangle may lie outside the triangle since the ___altitude___ may not intersect any side of the triangle. * * * * * No. One of the altitudes must intersect the side opposite it and so it is not correct to say ANY side of the triangle.
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 is The incenter of a triangle falls outside of its triangle?
The incenter of a triangle is the point at which the 3 medians (lines from the vertex to the middle of the side opposite the vertex) of the triangle intersect. Per it's definition, the incenter cannot ever fall outside the triangle. On the other hand, the orthocenter (intersection of the altitudes) can. It does so whenever the triangle is obtuse.
Can the median of a triangle fall outside of triangle?
No. It's not possible to start at one vertex of the triangle and proceed to the midpoint of the opposite side, by way of a straight path that takes you outside of the triangle.
