Find the middle line of a trapezoid if its area is 120 cm2 and its height is 8 cm.

univerkov | February 16, 2021 | education

1. The tops of the trapezoid – A, B, C, D. Height BH = 8 centimeters. Trapezium area S = 120 centimeters². MK is the middle line of the trapezoid.

2. The area of the trapezoid is equal to the product of half the total length of the bases by the height.

S = (AD + BC) / 2 x ВН.

3. The middle line of the trapezium MK is equal to half the total length of the bases:

MK = (AD + BC) / 2.

MK = (AD + BC) / 2 = S: BH = 120: 8 = 15 centimeters.

Answer: MK is equal to 15 centimeters.

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