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Answer:
Let's neaten up that equation a bit:
trapezoid area = height * (sum of the bases) / 2
height = 2 * area / (short base + long base)
height = 2 * 78 / (5 + 8)
height = 156 / 13
height = 12 inches
Source: https://www.1728.org/quadtrap.htm
Step-by-step explanation: