True
FALSE
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
Yes, the center of the circumscribed circle (circumcenter) of a triangle is equidistant from all three vertices of the triangle. This property holds true because the circumcenter is defined as the point where the perpendicular bisectors of the sides of the triangle intersect. Consequently, each vertex of the triangle lies on the circumference of the circumscribed circle, maintaining equal distances from the circumcenter to each vertex.
Exactly one circle can be inscribed in a given triangle.Many triangular shapes can be inscribed in a given circle.
FALSE
True
False apex q
true
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
Yes, the center of the circumscribed circle (circumcenter) of a triangle is equidistant from all three vertices of the triangle. This property holds true because the circumcenter is defined as the point where the perpendicular bisectors of the sides of the triangle intersect. Consequently, each vertex of the triangle lies on the circumference of the circumscribed circle, maintaining equal distances from the circumcenter to each vertex.
It is its inradius.
a circumscribed triangle is a circumscribed triangle and will always be
A triangle has exactly one circumscribed circle.
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
Exactly one circle can be inscribed in a given triangle.Many triangular shapes can be inscribed in a given circle.