The adjacent sides of the parallelogram are 52 and 30 cm, and the acute angle is 30. Find the area of the parallelogram.

univerkov | September 1, 2021 | education

1. The tops of the parallelogram – A, B, C, D. AB = 30 centimeters. AD = 52 centimeters. BE – height (drawn to the AD side). S is the area of the parallelogram. ∠А = 30 °.

2. We calculate the length of the height BE through one of the trigonometric functions ∠A (sine):

BE / AB = sine ∠A = sine 30 ° = 1/2.

BE = 30 x 1/2 = 15 centimeters.

4. S = AD x BE = 52 x 15 = 780 centimeters².

Answer: S equals 780 centimeters².

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.