Using Heron’s formula, $s = 12$, area $= \sqrt12 \times 5 \times 4 \times 3 = 12\sqrt5$. The shortest altitude corresponds to the longest side (9): $h = \frac2 \times 12\sqrt59 = \frac24\sqrt59 = \frac8\sqrt53$. \boxed\dfrac8\sqrt53 - Veritas Home Health