The orthocenter of an obtuse triangle always lies __________.

A. on a vertex of the triangle
B. on the inside of the triangle
C. on the outside of the triangle
D. on the triangle

The intersection of three altitudes of a triangle is called the orthocenter, while altitude is the line drawn from one of the vertex of a triangle and extends it in such a way that it cuts perpendicularly the opposite side of the same triangle.

For obtuse triangle, the orthocenter always lies outside of the triangle. So option “C” is correct.

An image of obtuse triangle along with orthocenter is attached herewith.

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The orthocenter of an obtuse triangle always lies __________. A. on a vertex of the triangle B. on the inside of the triangle C. on the outside of the triangle D. on the triangle

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The orthocenter of an obtuse triangle always lies __________.

A. on a vertex of the triangle
B. on the inside of the triangle
C. on the outside of the triangle
D. on the triangle