# The area of the triangle is 217 and the perimeter is 62 find the radius of the inscribed circle.

July 25, 2021 | education

| Let r denote the radius of the circle inscribed in this triangle.

To find the value of r, we use the formula for the area S of a triangle through the perimeter p of this triangle and the radius of the circle inscribed in this triangle, namely:

S = r * p / 2.

From this formula we get:

r = 2S / p.

According to the condition of the problem, the area of this triangle is 217, and its perimeter is 62.

Substituting these values into the formula r = 2S / p, we find the radius of the inscribed circle:

r = 2 * 217/62 = 434/62 = 7.

Answer: the radius of the inscribed circle is 7.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.