In an isosceles triangle ABC with base AC, the lateral side is 15 and cosA = 0.6. find the height drawn to the base

univerkov | May 26, 2021 | education

Since triangle ABC is isosceles (by the problem statement), the height is the median drawn to the side AC. Then:

AH = 1/2 * AC = 1/2 * 15 = 15/2.

Triangle ABH is rectangular (since AH is height), then, using the Pythagorean theorem, we get:

AH = AH cos (A) = 15/2 * 0.6 = 5.

Answer: the required height is 5.

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.