Find the area of the parallelogram ABCD. Angle B-150 degrees. AB = 15mm AD = 38mm
| June 18, 2021 | education
1. S is the area of the parallelogram.
2. We draw the height of the ВК.
3. ∠АВК = ∠В – ∠СВК = 150 ° – 90 ° = 60 °.
4. We calculate the length of the height ВK through the cosine ∠АВК, equal to the quotient of division ВK (leg of a right-angled triangle ABK) by AB (hypotenuse of the indicated triangle):
BK: AB = cosine ∠ABK = cosine 60 ° = 1/2.
Length of height BK = 15 x 1/2 = 7.5 millimeters.
5. S = AD x BK = 38 x 7.5 = 285 millimeters².
Answer: S = AD x BK = 38 x 7.5 = 285 millimeters².
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.
