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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 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.
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.
