Through point A, a tangent AB and a secant are drawn, intersecting the circle at points C
| September 11, 2021 | education
Through point A, a tangent AB and a secant are drawn, intersecting the circle at points C and K so that AC = 4cm, AK = 16cm. Find the length AB.
By the property of the tangent to the circle and the secant, coming out of one point, the square of the distance from this point to the point of tangency is equal to the product of the length of the secant by the length of its outer part.
AB ^ 2 = AK * AC.
AB = √AK * AC = √4 * 16 = √64 = 8 cm
Answer: AB = 8 cm.
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.
