The medians, bisectors and bisectors of an arbitrary triangle cut out of paper can be created by folding.
The intersections of the verticals, the bisectors, the bisectors and the altitudes of any triangle cut out of paper can be created by folding.
Perpendicular to the centre
Fold the vertices in pairs on top of each other, the resulting fold line, which is perpendicular to the side, also bisects it. If you fold all three perpendiculars - geometry math helper , you also get their intersection.
Fold two adjacent sides on top of each other so that the fold line passes through the common corner point. All three angle bisectors intersect at one point.
The centre of gravity can also be determined by folding lines that connect the centre of the side and the opposite corner point.
You can check the correctness and accuracy of your folding by making sure that the point of intersection of the bisector and the central perpendicular lie on a straight line - do my assignment for me . This can also be done by a fold line, which is the Eulerian straight line of the triangle.
The heights are the perpendiculars from a corner point to the opposite side. When folding, the sections of each side must coincide and the fold line must go through the corner point. If you fold all three heights, you get the height intersection - pay someone to do my math homework . In the case of an acute triangle, the intersection point is inside the triangle, in the case of an obtuse triangle it is outside the triangle. This case cannot be represented by folds.
In the right-angled triangle, the two cathedrals are also altitudes. The altitude intersection is identical to the vertex of the right angle.
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