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In which triangle do the three altitudes intersect outside the triangle?
Obtuse Triangle
In which triangle do the three altitudes intersect outside of the triangle?
Obtuse Triangle
Where can the lines containing the atitudes of an obtuse triangle intersect?
They intersect at the circumcentre.
Do the three altitudes of an obtuse triangle always intersect inside the triangle?
No.
Where can the lines contain the altitude of an obtuse triangle intersect?
They can only intersect at the circumcentre, which is a point outside the triangle, beyond the side opposite the obtuse angle.
Where can the bisectors of the angles of an obtuse triangle intersect?
inside the triangle ;) hope this helps!!
Will the medians of an obtuse triangle ever intersect on the triangle?
Yes. Medians always intersect in a single point, called the centroid, or geocenter.
The orthocenter of a triangle may lie outside the triangle since the may not intersect any side of the triangle?
True for an obtuse 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).
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.
What is the name of the point at which all of the triangle's perpendicular bisectors intersect?
Circumcenter, this is the center-point of a circle circumscribed around the triangle. If the triangle is obtuse, then this point is outside the triangle and if the triangle is a right triangle, then the point is the midpoint of the hypotenuse.
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.
