Question

Where is the circumcenter of this triangle located?

inside the triangle

outside the triangle

on a side of the triangle

at a vertex of the triangle

Answer 1

The circumcenter's location varies with the type of triangle: inside for acute, on the hypotenuse for right, and outside for obtuse triangles.

Step-by-step explanation:

The location of the circumcenter of a triangle depends on the type of triangle. For an acute triangle, the circumcenter is inside the triangle. For a right triangle, it is on the hypotenuse. For an obtuse triangle, the circumcenter is outside the triangle. The circumcenter is the point where the perpendicular bisectors of the sides of the triangle intersect, and it is equidistant from all three vertices of the triangle, which means it's the center of the circumcircle that circumscribes the triangle.

Answer 2

on a side of a triangle