Line segment AB = 25 touches a circle of radius 60 with center O at point B. The circle intersects segment AO at point D. Find AD.

univerkov | November 29, 2020 | education

Let’s draw the radius of the OB. Since the radius is perpendicular to the tangent => OB is perpendicular to AB. Consider the triangle ABO, m (By the Pythagorean theorem => AO ^ 2 = AB ^ 2 + BO ^ 2 => AO ^ 2 = 625 + 3600 = 4225 => AO = 65 => AD + OD = 65. OD – radius = > OD = 60 => AD = 65-60 = 5
Answer: 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.