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Well, honey, the orthocenter of a right triangle is where all three altitudes intersect. In the case of a right triangle, the orthocenter coincides with one of the vertices, specifically the right angle vertex. So, grab your ruler and draw those altitudes to find that sassy orthocenter right at the corner of the right angle.
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SteveWhen the triangle is right, the orthocenter is the polygon vertex of the right angle. Intuitively this makes sense because the orthocenter is where the altitudes intersect. Hence, in a right triangle, the vertex of the right angle is where you would expect the altitudes to meet, at 90 degrees, where the legs of the right triangle are perpendicular.
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Which type of triangle would have a orthocenter that is one of the vertices of the triangle?
a right triangle
The orthocenter of a triangle may lie outside the triangle since?
The orthocenter is the point where the altitudes of a triangle intersect. An orthocenter lies outside of a triangle only when the triangle is obtuse. If a triangle is acute, the orthocenter lies inside of the triangle.
If a triangle is obtuse where is the orthocenter of the triangle found?
If a triangle is obtuse, the orthocenter of the triangle actually lies outside of the triangle. If the triangle is acute, the orthocenter of the triangle lies on the inside of the triangle
What type of triangle has its orthocenter outside of the triangle?
The orthocenter of a triangle is found at the intersection of the three altitudes of the triangle. Obtuse triangles contain altitudes which are found outside of the triangle, meaning their orthocenter must be outside of the triangle as well.
In which type of triangle does the orthocenter of the triangle fall outside the triangle?
An obtuse angled triangle.
