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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
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
Does the angle bisector of a scalene triangle intersect at a single point?
No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle. * * * * * On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.
What is the common intersection of the angle bisectors of a triangle.?
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.
