What is the area of a triangle if the perimeter is 12 cm and the radius of the inscribed circle is 4 cm?

As we know from the school mathematics course, the area of a triangle can be calculated using the product of its half-perimeter and the radius of the inscribed circle (circle).

Let us determine what the semi-perimeter of this triangle will equal, when from the condition we know that its perimeter is 12 cm:

12: 2 = 6.

Let us determine what the area of this triangle will be equal to, when from the condition we know that the radius of the inscribed circle is 4 centimeters:

6 * 4 = 24.

Answer: The area is 24 cm2.