Question

1. choose the correct answer.

the circumcenter of a right triangle will be on the ____ of the triangle.
hypotenuse
leg
exterior
interior

1. choose the correct answer.

the circumcenter of an obtuse triangle will be in the ____ of the triangle.
hypotenuse
exterior
interior
leg

Explanation:

• For a right - triangle: The circumcenter is the mid - point of the hypotenuse. This is because the hypotenuse is the diameter of the circum - circle (by the property that an angle inscribed in a semi - circle is a right angle).
• For an obtuse - triangle: The circumcenter lies outside (exterior) of the triangle. This is due to the fact that the perpendicular bisectors of the sides of an obtuse triangle intersect outside the triangle.

Answer:

1. A. hypotenuse
2. B. exterior