Question 1085890: Points A, B, and C are on a circle such that AB = 8, BC = 15, and AC = 17. Find the radius of the circle. Answer by ikleyn(52835) (Show Source):
Notice that = .
Indeed, = 64 + 225 = 280 = .
It means that the triangle ABC is a right-angled triangle with the right angle at the vertex B and AC is its hypotenuse.
This right-angled triangle is inscribed into the circle.
It means that its hypotenuse AC is the diameter of the circle.
Hence, the radius of the circle is = 8.5 units.
