Since the angle C is 90 °, the triangle is right-angled. We find its hypotenuse using the Pythagorean theorem, we get:
AC ^ 2 = AB ^ 2 + BC ^ 2 = 3 ^ 2 + 4 ^ 2 = 25;
AC = 5.
In a right-angled triangle, the radius of the circumscribed circle is 1/2 of its hypotenuse:
R = AC / 2 = 5/2 = 2.5.
Answer: the required radius is 2.5.
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.