# The bases of the trapezoid are 9 and 24 one of the sides is equal to the root of 3

The bases of the trapezoid are 9 and 24 one of the sides is equal to the root of 3 and the angle between them is 120. Find the area of the trapezoid.

Let’s build the height BH of the trapezoid ABCD.

The ABH triangle is rectangular, since BH is the height, the angle ABH = (ABC – 90) = 30.

In a right-angled triangle ABH, the leg AH lies opposite the angle 30, then AH = AB / 2 = √3 / 2 cm.

By the Pythagorean theorem, we determine the length of the leg BH. BH ^ 2 = AB ^ 2 – AH ^ 2 = 3 – 3/4 = 9/4.

BH = 3/2 = 1.5 cm.

Determine the area of the trapezoid.

Savsd = (ВС + АD) * ВН / 2 = (9 + 24) * 1.5 / 2 = 24.75 cm2.

Answer: The area of the trapezoid is 24.75 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.