Let’s build the height АН to the base СD.
In a right-angled triangle ADH, the angle ADH, by condition, is equal to 30, then the leg AH lies opposite the angle 30, and therefore its length is equal to half of the hypotenuse AD.
AH = AD / 2 = 8/2 = 4 cm.
Determine the area of the trapezoid ABCD.
Savsd = (AB + CD) * AH / 2 = (2 + 10) * 4/2 = 24 cm2.
Answer: The area of the trapezoid is 24 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.