The given statement exists true that "The orthocenter of a right triangle is always found at the right angle's vertex".
The orthocenter is the point at which the triangle's three altitudes cut or intersect. The altitude is the line drawn from the triangle's vertex that is perpendicular to the opposite side. There are three altitudes because the triangle has three vertices and three sides.
The given statement exists true that "The orthocenter of a right triangle is always located at the vertex of the right angle".
The altitudes from the two non-right vertices (A and B) will always be the legs of the triangle, which intersect at the vertex containing the right angle, as shown in the right triangle below (C). Because the altitude to the triangle's hypotenuse originates at the vertex, the three altitudes (the red rays) intersect there. As a result, the vertex of a right triangle is always the orthocenter.
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