CPM Homework Help : INT2 Problem 8-41

Ben is still working on the design for the math club t-shirt. He constructs the angle bisectors of $∆ABC$ , and labels the point of intersection $I$ to indicate the incenter. However, when he tries to construct the inscribed circle, he gets the result shown in the diagram below. What has gone wrong? Describe how Ben can complete his construction of the inscribed circle of $∆ABC$ .

Triangle, A,B,C, with dashed rays, from each vertex, with highlighted point of concurrency labeled, i. Circle is drawn, using point labeled, I, as the center, with radius going through the point of intersection, between the ray coming from vertex, A, & side, B C.

Hint:

The triangle should be inscribed in the circle. The circle uses a perpendicular from the center to one of the triangle sides.