Fill in the blanks: (1) The point of concurrency of the three altitudes of a triangle is called___________. (2) The sum of the measures of the angle in a line is __________. (3) The second power of any number is _________.
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Solution
1)When the triangle is obtuse, the points of concurrency lie outside the triangle. The common intersection of the three lines containing the altitudes is called the orthocenter of a triangle. The common intersection of the three lines containing the perpendicular bisectors is called the circumcenter of a triangle.