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.
radius
True
FALSE
The center of an inscribed angle is either a vertex or an endpoint.
The intercenter of a triangle, also known as the incenter, is the point where the angle bisectors of the triangle intersect. It is equidistant from all three sides of the triangle, making it the center of the inscribed circle (incircle). The incenter lies within the triangle for all types of triangles and is a key point in triangle geometry, often used in constructions and proofs related to circles inscribed in triangles.
radius
True
FALSE
True
It is its inradius.
False apex q
The shortest driving distance is 13.4 miles.
The center of an inscribed angle is either a vertex or an endpoint.
If talking in terms of the shortest distance around a sphere, the answer is NO.
That is the definition of the incenter; it is the center of the inscribed circle.
1.
in center