The height of the trapezoid is 14, the area is 140. Find the middle line of the trapezoid.

Let’s use the formula for the area of a trapezoid.

S = (BC + AD) * CH / 2.

Let’s use the formula for the midline of a trapezoid.

KP = (BC + AD) / 2.

Let’s substitute in the first equation.

S = KP * CH.

140 = КP * 14.

КP = 140/14 = 10 cm.

Answer: The length of the middle line is 10 cm.

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