Answer
no triangle
Work Step by Step
Based on the given conditions, use the Law of Sines, we have $\frac{sinC}{5}=\frac{sin95^\circ}{4}$, thus $C=sin^{-1}(\frac{5sin95^\circ}{4})\approx sin^{-1}(1.25)\longrightarrow$ no solution, thus no triangles are possible.