SOLUTION: Points A, B, and C are on a circle such that AB = 8, BC = 15, and AC = 17. Find the radius of the circle.

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): You can put this solution on YOUR website!
.

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.

Solved. The radius of the circle is 8.5 units.

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