Triangle height

Make a perpendicular line from a vertex of a triangle to its opposite side, and the line segment from the vertex to the foot
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synonym Height of triangle (mathematical term) generally refers to the height of a triangle
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from triangle From a vertex of Opposite side Make one vertical The line from the vertex to the perpendicular foot is called the height of the triangle, and the opposite side is called the bottom of the triangle.
Chinese name
Triangle height
Definition
Make a perpendicular line from a vertex of a triangle to its opposite side, and the line segment from the vertex to the perpendicular foot

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By definition, Height of triangle Is a line segment.
Since a triangle has three sides, it has three heights.

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Set angle A, B, C of △ ABC Opposite side They are a, b, c respectively, p=(a+b+c)/2
1. Acute angle Height of triangle Are inside the triangle; The high school of an obtuse triangle has two on the outside of the triangle; right triangle There are two triangles in our high school Right angled side
2. The high line of a triangle Is long
..............._______
ta=(2/a)√p(p-a)(p-b)(p-c);
..............._______
tb=(2/b)√p(p-a)(p-b)(p-c);
..............._______
tc=(2/c)√p(p-a)(p-b)(p-c)。
3. The three heights of a triangle intersect at a point, which is called triangular orthocenter It is often recorded as point H.