The radius of a circle inscribed in an equilateral triangle is 6√3 cm. Find the perimeter of the triangle.
July 29, 2021 | education|
The radius of a circle inscribed in an equilateral triangle is:
R = a * √3 / 6, where a is the side of the triangle.
a = 6 * R / √3 = 6 * 6 * √3 / √3 = 36 cm.
Then the perimeter of the triangle is: P = 3 * a = 3 * 36 = 108 cm.
Answer: The perimeter of the triangle is 108 cm.
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.