2
QuizMultiple Choice

Centroid and Orthocenter

Question 2 • ! MCHS (CR25) - GEOMETRY

If an orthocenter lies inside of a triangle, then the triangle must be

Answer
A
isosceles.
B
obtuse.
C
right.
D
acute.

Explanation

The orthocenter is the point where a triangle’s three altitudes meet. In an acute triangle, all three altitudes meet inside the triangle; in an obtuse triangle, the orthocenter lies outside, and in a right triangle it is at the right-angle vertex. Therefore, the triangle must be acute.

AI-written and checked against the verified answer.

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