1) In triangle ABC, AB=BC=17 and AC=16. Find the circumradius of triangle ABC.
Acute isosceles triangle.
Sides: a = 17 b = 17 c = 16
Area: T = 120
Perimeter: p = 50
Semiperimeter: s = 25
The circumcircle of a triangle is a circle that passes through all of the triangle's vertices, and the circumradius of a triangle is the radius of the triangle's circumcircle. Circumcenter (center of circumcircle) is the point where the perpendicular bisectors of a triangle intersect.
Inradius (r) =Area / Semiperimeter
r =120 / 25 =4.8
Circuradius(R) =[17 * 17 * 16] / [4 * 4.8 *25]
R = 9.63