The area of the triangle is 12 cm 2. The length of its base and the height lowered to the base

The area of the triangle is 12 cm 2. The length of its base and the height lowered to the base are expressed in natural numbers. How many triangles can you build according to these conditions?

The area of a triangle at a known height and base can be found as the product of the height and base divided by two. Thus, the product of the height and base for a given triangle should be equal to:

12: 2 = 6 cm.

Let’s find the product of which natural numbers can end up with 6:

1 * 6 = 6;

2 * 3 = 6;

We got two options. Therefore, according to these conditions, 2 triangles can be built.

Answer: according to these conditions, you can build 2 triangles.