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Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
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.
Will medians sometimes intersect inside a acute triangle?
Always.
Do angle bisectors always intersect inside the triangle?
Yes.
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.
Can an angle bisector of a triangle always intersect inside the triangle?
The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)
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 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.
Do the medians of a triangle always intersect inside the triangle?
Yes.
Will the medians always intersect inside an acute triangle?
Yes.
Will medians sometimes intersect inside a acute triangle?
Always.
Do angle bisectors always intersect inside the triangle?
Yes.
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.
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.
Does the altitude of a triangle always intersect inside the triangle?
No. Not if the triangle is right angled (the intersection is AT the right vertex) or obtuse angled (intersection outside).
Which statement about an altitude of a triangle is always true?
Well, isn't that a happy little question! The altitude of a triangle is always perpendicular to the base it intersects. It's like a little friend that helps the triangle stand tall and proud. Just remember, in the world of triangles, altitudes are always there to lend a hand and make everything more balanced and beautiful.
Lines that contain the altitudes of a triangle?
The altitudes of a triangle are the segments drawn from each vertex perpendicular to the opposite side. These lines intersect at a point called the orthocenter, which can lie inside the triangle for acute triangles, on the vertex for right triangles, and outside for obtuse triangles. Each altitude represents the height of the triangle from that vertex, contributing to the calculation of the triangle's area. The altitudes can be constructed using geometric methods or calculated using coordinate geometry.
