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Geometry Inequality, but...Maybe Incorrect

Source: 1983 National High School Mathematics League, Exam One, Problem 8

February 21, 2020
geometryinequalitiescircumcircle

Problem Statement

For any △ABC\triangle ABC, its girth isll, its circumradius isRR, its inscribed radius is rr.Which one is true? (A)l>R+r(B)l≤R+r(C)l6<R+r<6l(D)\text{(A)}l>R+r\qquad\text{(B)}l\leq R+r\qquad\text{(C)}\frac{l}{6}<R+r<6l\qquad\text{(D)}None above
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