The base of the trapezoid is 1: 11 and the midline is 48. find the greater stop of the trapezoid

univerkov | May 1, 2021 | education

1. The tops of the trapezoid A, B, C, D. BC: AD = 1: 11. MK – middle line.

2. AD = 11 BC.

3. For further calculations, we will use the formula for the middle line of a trapezoid:

MK = (BC + AD) / 2 = 48 units.

ВС + АD = 96 units of measurement.

4. Substitute 11BC instead of AD into this expression:

BC + 11 BC = 96 units.

12BC = 96 units.

BC = 8 units.

AD = 8 x 11 = 88 units.

Answer: AD = 88 units of measurement – a larger base.

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