Given: ABCD trapezoid AB = CD BH | AD AH = 5 cm HD = 12 cm find: MN – middle line
| July 5, 2021 | education
The middle line of a trapezoid is equal to the half-sum of its bases:
MN = (BC + AD) / 2.
If the trapezoid is ABCD, AB = CD, then the trapezoid is isosceles.
In order to find the length of the base of the aircraft, we draw the height of the CК.
Since the trapezoid is isosceles, then KD = AH = 5 cm.
BC = HD – KD;
BC = 12 – 5 = 7;
AD = 5 + 12 = 17;
MN = (17 + 7) / 2 = 24/2 = 12.
Answer: the length of the middle line is MN = 12 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.
