A circle with a radius of 2 cm is inscribed in a triangle with a perimeter of 10 cm. Find the area of the triangle.

Let’s calculate how many centimeters half the perimeter of this triangle will equal, if we know, according to the conditions from this task, that its perimeter is ten centimeters:

10: 2 = 5.

Let’s calculate how many square centimeters the area of a given triangle will equal, if we know, based on the conditions of this task, that the radius of the circle inscribed in this triangle is two centimeters:

2 * 5 = 10.

Answer: The area of a given triangle is 10 cm2.