# The median BM is drawn in triangles ABC with an area of 72 cm2. Find the area of triangle ABM.

September 29, 2021 | education

| 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.

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