The statement that the orthocenter of a right triangle is located at the vertex of the right angle is always true.
The orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other.
You can see in the image, there is a right-angled triangle ABC right angled at B. When we draw perpendiculars from each of vertices of the triangle, they intersect at the vertex of the right angle. Hence, we can say that the orthocenter of a triangle is always located at the vertex of the right angle.
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