Question

How do i find the location of the point of concurrenncy based on the type of triangle (Right, Obtuse, and Acute) and the point of concurrency (Incenter, Circumcanter, and Centroid)?

Answer 1

In a right triangle, the incenter is the point of concurrency where the angle bisectors intersect. The circumcenter is where the perpendicular bisectors intersect. The centroid is where the medians intersect.

Step-by-step explanation:

In a right triangle, the incenter is the point of concurrency where the angle bisectors of the triangle intersect. The circumcenter is the point of concurrency where the perpendicular bisectors of the triangle's sides intersect. The centroid is the point of concurrency where the medians of the triangle intersect.

In an obtuse triangle, the incenter and circumcenter are both located outside of the triangle. The centroid, however, is still located inside the triangle.

In an acute triangle, all three points of concurrency (incenter, circumcenter, and centroid) are located inside the triangle.