Can an obtuse triangle have an orthocenter?

If the triangle is an obtuse triangle, the orthocenter lies outside the triangle. 3. If the triangle is a right triangle, the orthocenter lies on the vertex of the right angle.

What type of triangle has the orthocenter on the triangle?

acute triangle
The orthocenter is one of the four most common centers of a triangle. It is located at the point where the triangle’s three altitudes intersect called a point of concurrency. The orthocenter is located inside an acute triangle, on a right triangle, and outside an obtuse triangle.

What does an obtuse-angled triangle have?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Why is the orthocenter of an obtuse triangle?

It turns out that all three altitudes always intersect at the same point – the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.

Why is the orthocenter of an obtuse triangle outside the triangle?

How many Orthocentre does a triangle have?

three
The three (possibly extended) altitudes intersect in a single point, called the orthocenter of the triangle, usually denoted by H.

What do obtuse triangles look like?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

How do you identify an obtuse angle?

An obtuse angle is any angle larger than 90 degrees and less than 180 degrees. In other words, if the angle formed where two line segments meet goes beyond a right angle, it’s obtuse. Think of it as a reclined car seat. Anything beyond that perfect upright, 90 degree position is obtuse.

Does all triangle have orthocenter?

The point where the three altitudes of a triangle intersect. It turns out that all three altitudes always intersect at the same point – the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside.