Find the area of a trapezoid in which the middle line is 6, one base is 10, and the height is equal to the smaller base.

univerkov | May 5, 2021 | education

Through the length of the midline of the trapezoid and one of the bases, we determine the length of the second base.

KM = (BC + AD) / 2.

2 * KM = BC + AD.

BC = 2 * KM – AD = 2 * 6 – 10 = 2 cm.

By condition, the length of the height is equal to the length of the smaller base, then BH = BC = 2 cm.

Then the area of the trapezoid is:

Savsd = (АD + ВС) * ВН / 2 = (10 + 2) * 2/2 = 12 cm2.

Answer: The area of the trapezoid is 12 cm2.

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.