The vertical center of an acute triangle is inside the triangle.

The vertical center of a right triangle is at the vertex of the triangle.

The vertical center of an obtuse triangle is outside the triangle.

The vertical center is the intersection of high lines.

The vertical center is the intersection of three vertical lines from each vertex of a triangle to its opposite side.

Three vertices, three vertical feet and seven vertical centers of a triangle can get six four-point circles.

2. The heart is the intersection of bisectors of three internal angles of a triangle, that is, the center of the inscribed circle.

The distance from the center to the side of a right triangle is equal to the sum of two right angles minus half the difference of the hypotenuse.

3. The epicenter is the intersection of the perpendicular bisector of the three sides of the triangle, which is the center of the circumscribed circle.

4. The center of the tangent circle of a triangle (the circle tangent to the extension line of one side and the other two sides of the triangle) is called the tangent center. Paracenter is the intersection of the interior bisector of a triangle and its two non-adjacent exterior bisectors, and its distances to the three sides are equal. . The intersection of the bisector of the outer angle of any two angles of a triangle and the bisector of the inner angle of the third angle. A triangle has three side centers, and it must be outside the triangle.