circumcenter
The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.
The 3 angle bisectors of a triangle intersect in a point known as the INCENTER.
Oh, what a happy little question! The type of triangle you're describing is called an equilateral triangle. In an equilateral triangle, all three angles are equal, and the angle bisectors are also the perpendicular bisectors of the sides, creating a beautiful balance in the painting of geometry.
The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.
Orthocenter My improvement: The three angle bisectors will intersect at a point called the incenter. At this point it also the center of the largest possible circle within the triangle. Since a circle has a center point, this point within the triangle is called the incenter. The three heights of a triangle will meet at a special point called the orthocenter.
circumcenter
circumcenter
The common intersection of the angle bisectors of a triangle is called the incenter. It is the center of the inscribed circle of the triangle, and is equidistant from the three sides of the triangle.
It is called the incenter.
incenter
The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.
Circumcenter. The circumcenter of a triangle is the center of the circumcircle of the triangle. It is the point, O, at which the perpendiculars bisectors of the sides of a triangle are concurrent. The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter.
Circumcenter.
inscribed
y
The 3 angle bisectors of a triangle intersect in a point known as the INCENTER.
The intersection of the angle bisectors of a triangle is called the incenter. It is equidistant from the sides of the triangle and can be constructed by drawing the angle bisectors of the triangle's angles. The incenter is the center of the incircle, which is the circle inscribed within the triangle.