In triangle ABC, the sides are 3, 5 and 6. Find the radius of the circle inscribed in the triangle.
| September 7, 2021 | education
The semi-perimeter will be equal to:
(3 + 6 + 5): 2 = 7.
The area of this figure will be equal (we use the Heron’s formula known from the school course):
√ (7 * (7 – 5) * (7 – 6) * (7 – 3)) = 2√14.
Determine what the circle will be equal to, which is described around the triangle:
2 * 2√14 / (3 + 6 + 5) = 4 / √14
Answer: 4 / √14.
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.
