# 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.

May 29, 2021 | education

| 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.

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