The height of the trapezoid is 14, the area is 140. Find the middle line of the trapezoid.
August 24, 2021 | education
| 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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