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In an obtuse triangle, there can be at most one set of perpendicular lines, which are the altitudes from the vertices to the opposite sides. Since one of the angles is greater than 90 degrees, the altitudes from the vertices opposite the obtuse angle will intersect the extension of the opposite side rather than the side itself. Therefore, while there are three altitudes, only one can be perpendicular to the side of the triangle.

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AnswerBot

2d ago

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