A rectangular triangle with legs 8 and 15 cm is inscribed in a circle. What is the radius of this circle?

univerkov | January 12, 2021 | education

Here the Pythagorean theorem will help us.
AC ^ 2 = AB ^ 2 + BC ^ 2
AC ^ 2 = 8 ^ 2 + 15 ^ 2
AC ^ 2 = 64 + 225
AC ^ 2 = 289
AC = 17cm
Now let’s find r (radius). In order to find the radius it is necessary to divide the AC side by 2.
17: 2 = 8.5 cm (radius)
Answer: the radius is 8.5 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.