The height of the trapezoid is equal to the smaller base and half the size of the large base. Find the height
June 21, 2021 | education
| The height of the trapezoid is equal to the smaller base and half the size of the large base. Find the height if the area = 54 cm2.
Let the length of the height of the trapezoid be X cm, then, by condition, the smaller base is equal to BC = X cm, and the larger base is equal to AD = 2 * X cm.
Then the area of the trapezoid is equal to: Savsd = (BC + AD) * BH / 2 = (X + 2 * X) * X / 2 = 54.
3 * X ^ 2 = 108.
X ^ 2 = 108/3 = 36.
X = BH = 6 cm.
Answer: The height of the trapezoid is 6 cm.
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.