Find the radius of a circle around a regular triangle whose area is 3√3.
| August 30, 2021 | education
Since, by condition, triangle ABC is regular, all its internal angles are equal to 60.
Then the area of the triangle ABC is equal to:
Saavs = AB * BC * Sin60 / 2 = AB2 * Sin60 / 2.
AB2 = 2 * Savs / Sin60 = 2 * 3 * √3 / (√3 / 2) = 12.
AB = √12 = 2 * √3 cm.
The radius of the circumscribed circle about a regular triangle is:
R = AB / √3 = 2 * √3 / √3 = 2 cm.
Answer: The radius of the circumscribed circle is 2 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.
