Where do the points of concurrency of certain types of triangles lie?
The circumcenter of an obtuse triangle lies the triangle.
The incenter of a right triangle lies the triangle.
The point of concurrency of the angle bisectors of an acute triangle lies the triangle.
The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.

The circumcenter of an obtuse triangle lies outside the triangle.
The incenter of a right triangle lies inside the triangle.
The point of concurrency of the angle bisectors of an acute triangle lies inside the triangle.
The point of concurrency that is equidistant from the vertices of a right triangle lies on the triangle.

What is a triangle?

A triangle can be defined as a two-dimensional shape that is typically made up of three (3) sides, three (3) vertices and three (3) angles. This ultimately implies that, a polygon that has three (3) lengths of sides is a triangle.

Types of triangle

In Geometry, there are different types of triangle based on the length of their sides, vertices and angle, these include;

Equilateral triangle

Scalene triangle

Isosceles triangle

Obtuse triangle

Right triangle

What is a point of concurrency?

A point of concurrency refers to a single point that is shared by three (3) or more lines, segments, rays, or planes. Thus, a triangle is considered to be concurrent when three (3) or more lines intersect at a single point.

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