In a rectangular trapezoid, the base is 7 cm and 11 cm, the large lateral side makes an angle of 45
| September 4, 2021 | education
In a rectangular trapezoid, the base is 7 cm and 11 cm, the large lateral side makes an angle of 45 degrees with the base. find s trapezoid.
Let’s draw from the top С the height СН. Then in the right-angled triangle СDН the angle DСН = 180 – 90 – 45 = 45. Since the angles at the base of the triangle are equal, the triangle СDН is isosceles, СН = DH. Since ABCH is a rectangle, then AH = BC = 7 cm, then DH = CH = AD – AH = 11 – 7 = 4 cm.
Determine the area of the trapezoid.
Savsd = (ВС + АD) * СН / 2 = (7 + 11) * 4/2 = 36 cm2.
Answer: The area of the trapezoid is 36 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.
