Let’s build the height BH of the triangle ABC.
The area of the triangle ABC is equal to: Sавс = АС * ВН / 2 = 72 cm2.
The height BH is also the height of the ABM triangle, then the area of the ABM triangle is equal to:
Sawm = AM * BH / 2.
Since BM is the median of the triangle, then AM = CM = AC / 2.
Then, Sawm = (AC / 2) * BH / 2 = Savs / 2 = 72/2 = 36 cm2.
Answer: The area of the triangle ABM is 36 cm2.
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.