In triangle ABC AC = 11, BC = √135, angle C = 90 degrees. Find the radius of the circumscribed circle of this triangle.

univerkov | July 18, 2021 | education

By the condition of the problem, a right-angled triangle is given in which both legs are known. In a right triangle, the hypotenuse is the diameter of the circumscribed circle. Accordingly, the radius is half the hypotenuse. Let’s use the Pythagorean theorem and find the radius of the circumscribed circle:
R = 1/2 * AB = 1/2 * √ (AC² + BC²) = 1/2 * √ (121 + 135) = 1/2 * √256 = 1/2 * 16 = 8 (cm).
Answer: the radius of the circumscribed circle is 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.