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The point equidistant from the three sides of a triangle is the center of the triangle. The center of the triangle is the point of intersection of the medians of the triangle. The medians of a triangle are the line segments that join the vertices of the triangle to the midpoints of the opposite sides.
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What is equidistant from the three sides of the triangle?
It is the point known as the incentre.
Is a centroid of a triangle equidistant from all three sides?
no
Which term best describes the point where the three angle bisectors of a triangle intersect?
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 incircle, which is the circle inscribed within the triangle.
Which theorem explains why the circumcenter is equidistant from the vertices of a triangle?
The theorem that explains why the circumcenter is equidistant from the vertices of a triangle is the Circumcenter Theorem. This theorem states that the circumcenter, which is the point where the perpendicular bisectors of a triangle intersect, is equidistant from all three vertices of the triangle. This is because the perpendicular bisectors of the sides of a triangle are equidistant from the endpoints of those sides, thus ensuring that the circumcenter maintains equal distances to each vertex.
Which Term describes the point where the three angle bisectors of a triangle?
The point where the three angle bisectors of a triangle intersect is called the incenter. The incenter is equidistant from all three sides of the triangle and is the center of the inscribed circle (incircle) that touches each side of the triangle.
What is equidistant from the three sides of the triangle?
It is the point known as the incentre.
The incenter of a triangle is equidistant from the three of the triangle?
sides
Is a centroid of a triangle equidistant from all three sides?
no
What is equidistant from the three sides of a triangle?
60 degree
A set of three points equidistant around a point is called an?
A set of three points equidistant around a point is called an equilateral triangle. In geometry, an equilateral triangle is a triangle in which all three sides are equal in length. The angles in an equilateral triangle are also equal, each measuring 60 degrees.
Which term best describes the point where the three angle bisectors of a triangle intersect?
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 incircle, which is the circle inscribed within the triangle.
Which theorem explains why the circumcenter is equidistant from the vertices of a triangle?
The theorem that explains why the circumcenter is equidistant from the vertices of a triangle is the Circumcenter Theorem. This theorem states that the circumcenter, which is the point where the perpendicular bisectors of a triangle intersect, is equidistant from all three vertices of the triangle. This is because the perpendicular bisectors of the sides of a triangle are equidistant from the endpoints of those sides, thus ensuring that the circumcenter maintains equal distances to each vertex.
Which Term describes the point where the three angle bisectors of a triangle?
The point where the three angle bisectors of a triangle intersect is called the incenter. The incenter is equidistant from all three sides of the triangle and is the center of the inscribed circle (incircle) that touches each side of the triangle.
What is the incenter theorem?
The Incenter Theorem states that the incenter of a triangle, which is the point where the angle bisectors of the triangle intersect, is equidistant from all three sides of the triangle. This point serves as the center of the triangle's incircle, which is the largest circle that can fit inside the triangle, touching all three sides. The theorem highlights the relationship between the triangle's angles and its sides, reflecting the symmetry of the triangle.
Which term describes the point where the perpendicular bisectors of the sides of a triangle intersect?
The point where the perpendicular bisectors of the sides of a triangle intersect is called the circumcenter. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.
Is this statement true or falseThe incenter of a triangle is equidistant from all three sides of the triangle?
true
is this statement true or false the incenter of a triangle is equidistant from all three sides of the triangle?
true
