Answer:
C. circumcenter
Step-by-step explanation:
You want to know which point of concurrency is the midpoint of the hypotenuse of a right triangle.
Orthocenter
The orthocenter is the point where altitudes meet. In a right triangle, this is the right angle vertex.
Centroid, Incenter
The centroid is the point where medians meet. It is always internal to a triangle.
The incenter is the center of the inscribed circle. It is the point where the angle bisectors meet. It is always internal to a triangle.
Circumcenter
The circumcenter is the point where the perpendicular bisectors of the sides meet. It is always the midpoint of the hypotenuse in a right triangle. The hypotenuse is a diameter of the circumcircle.
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Additional comment
The orthocenter and circumcenter will be external to an obtuse triangle.
In the attached figure, the various points of concurrency are labeled with their answer choice designators.
