In triangle ABC, the sides are 5, 6, and 7. Find the radius of the circle around the triangle.
| September 7, 2021 | education
The semi-perimeter will be equal to:
(5 + 6 + 7): 2 = 9.
The area of this figure will be equal (we use the Heron’s formula known from the school course):
√ (9 * (9 – 5) * (9 – 6) * (9 – 7)) = 6√6.
Determine what the circle will be equal to, which is described around the triangle:
(5 * 6 * 7) / (4 * 6√6) = 8.75 / √6.
Answer: 8.75 / √6.
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.
