A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius
A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius
If a triangle has altitudes , , and , semiperimeter , inradius , and circumradius , then .
α
β
γ
s
r
R
α+β+γ-9r≥2s-6
2r
R
3
r