Isosceles triangle $ABC$ has equal side lengths $AB$ and $BC$. In the figures below, segments are drawn parallel to $\overline{AC}$ so that the shaded portions of $△ABC$ have the same area. In the first figure, the unshaded top triangle has height $6$ units. In the second figure, the unshaded bottom trapezoid has height $8$ units. What is the height $h$ of $△ABC$?