An isosceles trapezoid is described around a circle. The side is 7 cm. Find the midline of the trapezoid.

univerkov | September 26, 2021 | education

1. A, B, C D – the tops of the trapezoid. AB = CD = 7 centimeters. MK is the middle line.

2. According to the properties of the isosceles trapezoid, into which the circle is inscribed, the total length of its bases is equal to the total length of the lateral sides.

Therefore, AB + CD = BC + AD.

BC + AD = 7 + 7 = 14 centimeters.

3. Calculate the length of the midline of the trapezoid:

MK = (BC + AD) / 2 = 14/2 = 7 centimeters.

Answer: the length of the middle line of the MK is 7 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.