Question

In $\Delta$ $ABC$ the sides opposite to angles $A,B,C$ are denoted by $a,b,c$ respectively.

Let $ABC$ be a triangle with altitudes $h_1,h_2,h_3$ and inradius $r$.

Then $\frac{h_1+r}{h_1-r}+\frac{h_2+r}{h_2-r}+\frac{h_3+r}{h_3-r}$

• A. $\ge 4$
• B. $\ge 6$
• C. $\ge 2$
• D. $\ge 1$

Answer 1

The correct option is B $\ge 6$