The diagonal of the trapezoid divides its midline into two segments so that one of them is 4 cm
| March 2, 2021 | education
The diagonal of the trapezoid divides its midline into two segments so that one of them is 4 cm larger than the other. Find the main trapezoid if the midline is 14 cm.
Let the length of the segment OK = X cm, then, by condition, the length of the segment OM = X + 4 cm.
KM = 14 = OK + OM = X + X + 4.
2 * X = 10.
X = OK = 10/2 = 5 cm, OM = 5 + 4 = 9 cm.
The segment OK is the middle line of the triangle ABC, then BC = 2 * OK = 2 * 5 = 10 cm.
The OM segment is the middle line of the AСD triangle, then AD= 2 * OM = 2 * 9 = 18 cm.
Answer: The lengths of the bases of the trapezoid are 10 cm and 18 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.
