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orthocenter

(geometry)

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Q: The point of intersection of the lines containing the altitudes of a triangle?
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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.


What is the point of concurrency of the lines containing the altitudes?

Orthocenter


What is the point of concurrency of lines containing the altitudes?

It is called the The circumcentre.


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.


Are the lines that contain the altitudes of a triangle concurrent?

Yes. They meet at the orthocentre.


Are the lines that contain the altitudes of a triangle are parallel?

No, they meet at a single point.


How do you get the center of a triangle?

Bisect two of the angles. The intersection of the resulting lines is the triangle's centre.


In geometry what do you call the intersection among the altitude of a triangle?

Such a point is called the orthocenter. Even the fact that all three altitudes intersect at a point is quite interesting because only two lines are guaranteed to intersect at a point, but we have three.


How do you verify that a triangle is isosceles?

The step to verify an isosceles triangle is: 1) Find the intersection points of the lines. 2) Find the distance for each intersection points. 3) If 2 of the distance are the same then it is an isosceles triangle.


Where can the lines containing the atitudes of an obtuse triangle intersect?

They intersect at the circumcentre.


What are the three lines of symmetry on an equilateral triangle?

They are the lines joining each of the vertices to the mid-points of the opposite sides. In an equilateral triangle, these lines are the medians, angle bisectors, altitudes and perpendicular bisectors of the sides - all in one!


What are the number of lines of symmetry in an equilateral triangle?

The three lines joining each vertex to the midpoint of the opposite side. They are also the medians, altitudes and perpendicular bisectors of the sides. In an equilateral triangle these are coincident.