If an orthocenter lies inside of a triangle, then the triangle must be acute.
Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle. The third altitude usually pass through the point of the first two altitudes.
- When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.
- An acute triangle is a type of triangle whose angles are less than 90 degrees.
Thus, If an orthocenter lies inside of a triangle, then the triangle must be acute.
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