# The side of the rhombus is 30, and the acute angle is 60 °. The height of the rhombus, omitted from the top of the obtuse angle

The side of the rhombus is 30, and the acute angle is 60 °. The height of the rhombus, omitted from the top of the obtuse angle, divides the side into two segments. What are the lengths of these segments? Consider a triangle ABC, this triangle is rectangular (by the condition of the problem). ∠A = 60 °, therefore, by the theorem on the sum of the angles of a triangle, ∠ABС = 180 ° -90 ° -60 ° = 30 °. By the property of a right triangle, AC = AB / 2 = 30/2 = 15. Therefore, the second half of the side of the rhombus = 30-15 = 15. That is, in this task, the height drawn to the side of the rhombus divides this side into two equal parts.
Answer: the lengths of both segments are equal to 15 Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.