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The orthocenter is Blank 1 Question 17 of the the triangle, in an obtuse triangle.

Question

The orthocenter is Blank 1 Question 17 of the triangle, in an obtuse triangle.

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Solution

In an obtuse triangle, the orthocenter is the point where the three altitudes of the triangle intersect. However, unlike in acute triangles where the orthocenter lies inside the triangle, in obtuse triangles, the orthocenter lies outside the triangle. This is due to the nature of the angles; since one angle is greater than 90 degrees, the altitudes from the vertices opposite to the obtuse angle intersect at a point outside the triangle.

Thus, if you are looking for a succinct definition for blanks in question, you might phrase it as:

"The orthocenter is located outside the triangle in an obtuse triangle."

This understanding is crucial in triangle geometry and plays a significant role in various geometrical constructions and properties.

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