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Question
The ______ triangle always has altitude outside itself.
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Solution
The obtuse triangle always has altitude outside itself.
Explanation:
In an obtuse triangle, one of the angles is greater than 90°. Because of this, the altitude (perpendicular drawn from a vertex to the opposite side) from the vertex of the obtuse angle falls outside the triangle when extended, making it impossible to draw the altitude inside the triangle.
This only happens in obtuse triangles. In acute and right triangles, all altitudes lie inside or on the triangle.
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