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.Click to see full answer. Just so, which best explains why the Orthocenter of an obtuse triangle is outside the triangle?Orthocenter of a triangle is a point which formed by intersection of all the three concurrent altitudes. In obtuse triangle All three of the concurrent altitudes lie entirely outside the triangle . Therefore its intersection will lie outside and that intersection is orthocenter of the obtuse triangle .Similarly, can the altitude of a triangle be outside the triangle? An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side). An altitude of a triangle can be a side or may lie outside the triangle. Thereof, in what kind of triangle does the centroid lie outside the triangle? Like incentre, centroid will lie inside the triangle whatever be it’s shape. Whereas, orthocentre and circumcentre can lie outside in obtuse triangles. In right triangles the orthocentre will lie at the right angled vertex. In isoceles right triangles circumcentre will lie at the mid point of hypotenuse.Which point of concurrency can lie outside the triangle?When the triangle is obtuse, the points of concurrency lie outside the triangle. The common intersection of the three lines containing the altitudes is called the orthocenter of a triangle. The common intersection of the three lines containing the perpendicular bisectors is called the circumcenter of a triangle.