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Are the lines that contain the altitudes of a triangle are parallel?
No, they meet at a single point.
Are the lines that contain the altitudes of a triangle concurrent?
Yes. They meet at the orthocentre.
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.
The point of intersection of the lines containing the altitudes of a triangle?
orthocenter (geometry)
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 is the point shared by the angle bisector of a triangle?
Actually, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. The altitudes are perpendicular lines drawn from each vertex to the opposite side. The angle bisectors of a triangle intersect at the incenter, not the orthocenter.
Is it possible to sketch a triangle in which exactly one of the altitudes is outside the triangle?
no; a triangle must have an obtuse angle if one of its altitudes is outside of the triangle, and in this case 2 of the altitudes are out of the triangle.
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.
What are the lines of symmetry on a regular polygon triangle?
A regular polygon triangle is an equilateral triangle. It has three lines of symmetry: a line passing through each vertex and the mid-point of the opposite side. These are the three medians or altitudes or perpendicular bisectors or angle bisectors of the triangle - they are all the same lines.
How many altitudes does a triangle have?
3 altitudes.
Does every triangle have three altitudes?
Yes, except that with a right angled triangle, two of the altitudes will also be the sides of the triangle.
