3. It is known that in a certain triangle, the radii of its excircles are $\frac{4 \sqrt{5}}{3}, \frac{12 \sqrt{5}}{7}$, and $\frac{3 \sqrt{5}}{2}$. Find the square of the radius of the inscribed circle for this triangle.
Answer: $1.25 \| 5 / 4$

Allowed for input are digits, minus, and division sign, a dot or comma as a decimal separator

#