# In a regular triangular pyramid SABC, the medians of the base ABC intersect at point O. The area of the triangle

March 24, 2021 | education

| **In a regular triangular pyramid SABC, the medians of the base ABC intersect at point O. The area of the triangle ABC is equal to 2. The volume of the pyramid is 6. Find the length of the segment OS**

Since the SABC pyramid is regular, its vertex point S is projected to point O, the point of intersection of the medians of the equilateral triangle ABC. Then the segment ОS is the height of the SABC pyramid.

Let’s apply the formula for the volume of the pyramid.

V = Sosn * h / 3.

h = 3 * V / Sb = 3 * 6/2 = 9 cm.

Answer: The length of the OS segment is 9 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.