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In which triangle do the three altitudes intersect outside of the triangle?
Obtuse Triangle
A set of three points equidistant around a point is called an?
A set of three points equidistant around a point is called an equilateral triangle. In geometry, an equilateral triangle is a triangle in which all three sides are equal in length. The angles in an equilateral triangle are also equal, each measuring 60 degrees.
Are the medians of a triangle equidistant from each vertex?
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle. The centroid of a triangle is twice as far from a given vertex than it is from the midpoint to which the median from that vertex goes. For example, if a median is drawn from vertex A to midpoint M through centroid C, the length of AC is twice the length of CM. The centroid is 2/3 of the way from a given vertex to the opposite midpoint. The centroid is always on the interior of the triangle.
What is the point where all three angle bisectors of a triangle intersect?
Its technical name is the incenter; it's also the center of the largest circle that can be inscribed within the triangle. (It is also equidistant from the nearest point along each of the three sides, if that's not obvious.)
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
Circumcenter
What is the point of concurrency of the three altitudes of a triangle called?
the point of concurrency of the altitudes of a triangle is called the orthocenter.
What is the purpose of an orthocenter?
In short, the orthocenter really has no purpose. There are 4 points of Concurrency in Triangles: 1) The Centroid - the point of concurrency where the 3 medians of a triangle meet. This point is also the triangle's center of gravity. 2) The Circumcenter - the point of concurrency where the perpendicular bisectors of all three sides of the triangle meet. This point is the center of the triangle's circumscribed circle. 3) The Incenter - the point of concurrency where the angle bisectors of all three angles of the triangle meet. Like the circumcenter, the incenter is the center of the inscribed circle of a triangle. 4) The Orthocenter - the point of concurrency where the 3 altitudes of a triangle meet. Unlike the other three points of concurrency, the orthocenter is only there to show that altitudes are concurrent. Thus, bringing me back to the initial statement.
What is the incenter of a triangle?
It is the meeting point or point of concurrency of three angle bisectors of a triangle.
What are secondary parts of a triangle in geometry?
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.the secondary parts are at the bottom.the secondary parts of the trianglemedian - a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sideangle bisector - a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite sidealtitude - a segment from the vertex of the triangle perpendicular to the line containing the opposite sideperpendicular bisector - a line whose points are equidistant from the endpoints of the given side.incenter - the point of concurrency of the three angle bisectors of the trianglecentroid - the point of concurrency of the three medians of the triangleorthocenter - the point of concurrency of the three altitudes of the trianglecircumcenter - the point of concurrency of the three perpendicular bisectors of the sides of the triangle .by merivic lacaya and acefg123ZNNHS Student. Toronto university student
What is the definition of point of concurrency?
A point of concurrency is a point where three or more lines, segments, or rays intersect or meet. Common points of concurrency in geometry include the centroid, circumcenter, incenter, and orthocenter of a triangle.
Basic and secondary parts of a triangle?
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space).the secondary parts of the trianglemedian - a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sideangle bisector - a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite sidealtitude - a segment from the vertex of the triangle perpendicular to the line containing the opposite sideperpendicular bisector - a line whose points are equidistant from the endpoints of the given sideincenter - the point of concurrency of the three angle bisectors of the trianglecentroid - the point of concurrency of the three medians of the triangleorthocenter - the point of concurrency of the three altitudes of the trianglecircumcenter - the point of concurrency of the three perpendicular bisectors of the sides of the triangle
Which terms describes the point where the three altitudes of a triangle intersect?
The altitudes of a triangle intersect at a point called the Orthocentre.Note : This is often stated as, "The altitudes are concurrent at a point called the Orthocentre."
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 point of concurrency of the perpendicular bisectors of a triangle?
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
What is the point where three altitudes of a triangle intersect?
I think it is the vertex. * * * * * No. It is the orthocentre.
What term describes the point where the three altitudes of a triangle intersect?
It is the orthocentre.
Which best describes the orthocenter of a triangle?
A. The point where the three altitudes of the triangle intersect. ~Apex
