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The orthocenter is __________ on the exterior of the triangle.

User Maaalte
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Final answer:

The orthocenter of an obtuse triangle is found on the exterior of the triangle. It is the point where the triangle's three altitudes intersect, and its location varies with the type of triangle.

Step-by-step explanation:

The orthocenter of a triangle is the point where the three altitudes, each being a perpendicular dropped from the vertices to the opposite sides, intersect. The location of the orthocenter depends on the type of triangle:

Acute triangle: The orthocenter is located on the interior of the triangle.

Obtuse triangle: The orthocenter is found on the exterior of the triangle.

Right triangle: The orthocenter coincides with the vertex of the right angle.

In the case of an obtuse triangle, which seems to be the context of your question, the orthocenter is not located at either end of the line, not in the middle of the line, but is outside the triangle's boundaries.

User Mihai Lazar
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