Question 83
Prove that following inequality is true for any triangle:
$$
2R + (3\sqrt{3} - 4)r \ge p,
$$
where $R$ and $r$ are the radii of the circumcircle and incircle of a triangle, and $p$ is the semiperimeter of the triangle.
$$
2R + (3\sqrt{3} - 4)r \ge p,
$$
where $R$ and $r$ are the radii of the circumcircle and incircle of a triangle, and $p$ is the semiperimeter of the triangle.