The bases of the trapezoid are 12 cm and 4 cm, the area is 72 cm2. Find its height.

univerkov | June 17, 2021 | education

Let’s build the height BH of the trapezoid ABCD.

Let’s apply the formula for the area of a trapezoid and express the height of the trapezoid from it.

Savsd = (ВС + АD) * ВН / 2.

2 * Savsd = (BC + AD) * BH.

BH = 2 * Savsd / (BC + AD) = 2 * 72 / (4 + 12) = 144/16 = 9 cm.

Answer: The height of the trapezoid is 9 cm.

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