Calculate the length of the radius of the circle around the triangle with sides 9, 12, 15.
| August 7, 2021 | education
The ABC triangle is rectangular, since the Pythagorean theorem works in it.
AC ^ 2 = AB ^ 2 + BC ^ 2.
225 = 144 + 81.
Then the hypotenuse of the triangle coincides with the diameter of the circle described around it.
AC = D = 2 * R.
R = AC / 2 = 15/2 = 7.5 cm.
Answer: The radius of the circle is 7.5 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.
