Question

which is the only center point that lies on the edge of a triangle? the incenter of a right triangle the incenter of an obtuse triangle the circumcenter of a right triangle the circumcenter of an obtuse triangle

Explanation:

The in - center of a triangle is the center of the inscribed circle and is always inside the triangle. The circum - center of a triangle is the center of the circum - circle. For a right triangle, the circum - center is the mid - point of the hypotenuse, which lies on the edge of the right triangle. For an obtuse triangle, the circum - center lies outside the triangle.

Answer:

the circumcenter of a right triangle