Question

If $h_1,h_2$ and $h_3$ are the lengths of the altitudes of a triangle then $\frac{1}{h_1}+\frac{1}{h_2}+\frac{1}{h_3}$ equals to
(Where $r$ is inradius of the incircle of the triangle)

• A. $\frac{1}{r}$
• B. $\frac{1}{2r}$
• C. $\frac{2}{r}$
• D. $\frac{3}{r}$

Answer 1

Answer: (A)

Correct answer is (a) $\frac{1}{r}$