That is the definition of the incenter; it is the center of the inscribed circle.
True, the definition of incenter is the point forming the origin of a circle within a triangle.Hopefully this helps :)
False!
That is correct
The answer is circumcenter
the answer is circumcenter
It is the center of the circle that is inscribed in the triangle.
incenter
incenter
true
Incenter (apex)
The circumcenter of the triangle.
Of course not! There are an infinite number of smaller circles.
This statement is incorrect. To circumscribe a circle around a triangle, the circle's center must be located at the circumcenter, not the incenter. The circumcenter is the point where the perpendicular bisectors of the triangle's sides intersect, while the incenter is the point where the angle bisectors meet and is the center of the triangle's inscribed circle.
The shortest distance from the center of the inscribed circle (the incenter) to the sides of a triangle is equal to the radius of the inscribed circle, known as the inradius. This distance is perpendicular to the sides of the triangle. The inradius can be calculated using the triangle's area and its semi-perimeter. Thus, the incenter serves as the point from which the shortest distances to each side are measured.
True, the definition of incenter is the point forming the origin of a circle within a triangle.Hopefully this helps :)
The point where the three angle bisectors of a triangle intersect is called the incenter. This point is equidistant from all three sides of the triangle and serves as the center of the triangle's incircle, which is the circle inscribed within the triangle. The incenter is significant in triangle geometry and is always located inside the triangle.
It is called incenter