The sides a, a/2 and h form a right triangle. Notice that our altitude is perpendicular to side R C, even. Label the point where the altitude intersects with R C as P o i n t O.This triangle R O C K s. The altitude ( h) of the equilateral triangle (or the height) can be calculated from Pythagorean theorem. Add a perpendicular from side R C over to K.That perpendicular is the altitude, or height, of the triangle from that base.We know that side R C is 8 cms long, and we can calculate the height to be about 3.08 cms. Acute triangle: the orthocenter is an inner point.Right triangle: the orthocenter coincides with the right angle’s vertex.Obtuse triangle: the orthocenter is outside the triangle.In each triangle, there are three triangle.
Acute triangle: all three altitudes lie inside the triangle. Altitudes are defined as perpendicular line segments from the vertex to the line containing the opposite side.Right triangle: The altitude with respect to the hypotenuse is interior, and the other two altitudes coincide with the legs of the triangle. The altitude of a triangle is the perpendicular line segment drawn from the vertex of the triangle to the side opposite to it.Obtuse triangle: The altitude related to the longest side is inside the triangle (see h c, in the triangle above) the other two heights are outside the triangle (h a, and h b).The altitude can be inside the triangle, outside it, or even coincide with one of its sides, it depends on the type of triangle it is: The three altitudes of a triangle (or its extensions) intersect at a point called orthocenter.