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What is the relationship between a scalene triangle and the location of its orthocenter? Explain.

A. The orthocenter will always be inside the scalene triangle, since the orthocenter is always inside any type of triangle.
B. The orthocenter will always be outside the scalene triangle, since the orthocenter is always outside any type of triangle.
C. The orthocenter will always be on the scalene triangle, since the orthocenter is always on a triangle with no congruent side lengths.
D. The orthocenter will be inside, on, or outside the scalene triangle, depending on whether it is acute, right, or obtuse, respectively. The number of congruent sides does not affect the location of the orthocenter.

1 Answer

6 votes

D:

The orthocenter will be inside, on, or outside the scalene triangle, depending on whether it is acute, right, or obtuse, respectively. The number of congruent sides does not affect the location of the orthocenter.

User Kaes
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