In an obtuse triangle ABC AC = BC = 8, the height of AH is 4. Find sin ACB.
| September 16, 2021 | education
Since the ABC triangle is obtuse-angled, its height AH intercepts the continuation of the BC side, then the ACH triangle is rectangular, in which we define the sine of the ACH angle.
SinАСН = АН / АС = 4/8 = 1/2.
Angles ACB and ACH are adjacent angles, and since the sines of adjacent angles are equal, then SinACB = SinACH = 1/2.
Answer: The sine of the angle ABC is 1/2.
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.
