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Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles.
Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle.
Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle.
Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle.
Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
What else can I help you with?
The point of concurrency of three altitudes of a triangle?
Orthocenter of a triangle
What is a pentagonal pyramid?
a pentagonal pyramid is a shape with a base of a triangle, and triangles forming up to the point
The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle true or false?
The perpendicular bisector of ANY chord of the circle goes through the center. Each side of a triangle mentioned would be a chord of the circle therefore it is true that the perpendicular bisectors of each side intersect at the center.
What is the point that is equidistant from the sides of a triangle?
The incentre, the point where the bisectors of the angles meet.
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.
Is it true that the point of concurrency of any triangle only happens inside the triangle?
Depends on the point of concurrency of what. The point of concurrency of altitudes will be outside in any obtuse triangle.
What triangle is the point of concurrency of the angle bisectors of a triangle?
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
Point of concurrency of any triangle only happens inside of a triangle?
yes
What is the point of concurrency of the altitudes of a triangle is called the?
the point of concurrency of the altitudes of a triangle is called the orthocenter.
The Point of Concurrency of the Angle Bisectors of a Triangle?
The point of concurrency is the point intersection.
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 point of concurrency of an altitude of a triangle?
The point of concurrency of the altitudes in a triangle is the orthocenter, while the point of concurrency for the perpendicular bisectors is the centroid/circumcenter. Sorry if this is late! xD
What is the point of concurrency of the perpendicular bisectors of a triangle called?
The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.
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.
The point of concurrency of three altitudes of a triangle?
Orthocenter of a triangle
A point of concurrency of the medians of a triangle?
centroid
Which is the point of concurrency of the altitudes of a triangle?
orthocenter
