A circle is described around the trapezoid (isosceles trapezoid). The perimeter of the trapezoid is 72
| September 17, 2021 | education
A circle is described around the trapezoid (isosceles trapezoid). The perimeter of the trapezoid is 72, the lateral side AB = 8. (CD = AB = 8). Find the middle line of the trapezoid.
Since a circle can be described around a trapezoid, such a trapezoid is isosceles.
AB = CD = 8 cm.
The perimeter of the trapezoid is: Ravsd = (AB + BC + CD + AD) = 72 cm.
(8 + BC + 8 + AD) = 72 cm.
(ВС + АD) = 72 – 16 = 56 cm.
The middle line of a trapezoid is equal to half the sum of the lengths of its bases.
KM = (BC + AD) / 2 = 56/2 = 28 cm.
Answer: The middle line of the trapezoid is 28 cm.
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