Question

If the line x = y = z intersects the line
xsinA+ysinB+zsinC-18=0=xsin2A+ysin2B+zsin2C-9,
where A, B, C are the angles of a triangle ABC, then 80$\left( sin\frac{A}{2}sin\frac{B}{2}sin\frac{C}{2} \right)$ is equal to ________.

Answer 1

The answer is: 5