Where can the altitudes in an obtuse triangular intersect?
Answer : The lines that contain the altitudes for an obtuse triangular intersect at a point called orthocenter. An altitude of the triangle is a line that passes through the vertex of the triangle, and is perpendicular with the opposite side.
Where can the perpendicular bisectors of the sides of a triangle intersect?
The perpendicular bisectors on the sides of a triangle meet at a point known as the circumcenter of that triangle. This point is located equidistant to the vertices.
In which Triangle do the three perpendicular bisectors intersect outside of the triangle?
What is the circumcenter of the triangle?
The circumcenter of any triangle is the intersection of the perpendicular bisectors on the sides of that triangle. The circumcenter is also known as the point at which the perpendicular bisectors of the sides intersect.
What is special about the Incenter of a triangle?
In geometry, the incenter is a center of a triangle. This is a point that can be used to define any triangle independently of its scale or placement. The incenter of a circle is located at the center of the circle, and it is also equally distant from all sides.
What is true about the Incenter of a triangle?
The incenter of a triangular triangle is always within that triangle. It is the point that marks the origin of the circle inscribed within the triangle. The incenter, like the centroid is always within the triangle. It is formed by combining the angles bisectors of three vertices in the triangle .”
Which point of concurrency is equidistant from the vertices?
The circumcenter is the point of concordance of the three perpendicular bisectors in a triangle. It is the center circle around the triangle. The circumcenter is equidistant to the three vertices.
What is the centroid of a triangle equidistant from?
The centroid is the intersection of certain construction lines within a triangle. These lines are first found at the midpoints on each side of the triangle. Next, we create segments that run from the midpoint to each vertex. It is also the point that is equal to all three vertices.
Which theorem explains why the Circumcenter is equidistant from the vertices of a triangle quizlet?
Review all radii in a circle that are congruent. Each other. This is why the circumcenter is equidistant to the vertices in the triangle. Perpendicular bisectors form the circumcenter. This is also explained by the concurrency theorem of perpendicular zuector.
What part of the coordinate plane is equidistant from the points A (- 3 2 and B 3 2?
1 Expert Response In other words, it’s the y-axis. The plane that is equidistant to points A and B is the y-axis.
Which theorem explains why the Circumcenter is equidistant from the vertices of a triangle a vertical angles theorem B concurrency of perpendicular bisectors theorem C concurrency of angle bisector theorem D alternate interior angles Theorem?
The concurrency of perpendicular bisectors theorem describes how all radii in a circle are equal, and so the circumcenter of a circle would be the center of all the vertices.
How do you find the length of the angle bisector of a triangle?
The length of an angle bisector in a standard triangle, such as AD in Figure 1.1, is AD2=A AC – BD DC or AD2=bc [1-(a2/(b+ c)2] according to the standard notation for a triangle. This was originally proved by extending the angle bisector to the circumcircle.