An isosceles trapezoid ABCD with base BC and AD is circumscribed about a circle.
| March 9, 2021 | education
An isosceles trapezoid ABCD with base BC and AD is circumscribed about a circle. Calculate the perimeter of the trapezoid if AB = 5cm.
1. According to the problem statement, this trapezoid is isosceles. AB = CD = 5 centimeters.
2. According to the properties of this geometrical figure, a circle can be inscribed into it if the total lengths of its opposite sides are equal.
AB + CD = AD + BC.
AB + CD = 5 + 5 = 10 centimeters.
Therefore, AD + BC = 10 cm.
3. The perimeter of the trapezoid = 10 + 10 = 20 centimeters.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
