The height of an acute-angled triangle ABC forms angles of 18 degrees and 46 degrees with the sides
| May 9, 2021 | education
The height of an acute-angled triangle ABC forms angles of 18 degrees and 46 degrees with the sides extending from the same vertex. Find the angles of the triangle ABC.
A triangle has a total of 180 degrees of interior angles. A right-angled triangle has one angle of 90 degrees.
The height, pubescent from the acute angle of the triangle, forms two right-angled triangles, the hypotenuses of which are the sides of the triangle ABC extending from the same vertex.
The first triangle will have 18, 90, 90 – 18.
The second is 46, 90, 90 – 46.
Third – 46 + 18
This means the angles of the triangle ABC will be 72, 44 and 64.
Answer: 72, 44 and 64.
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.
