Circumcircle of a Triangle: Constructing via Perpendicular Bisectors

① This example demonstrates how to construct the circumcircle of a triangle by finding the intersection point of the three perpendicular bisectors of its sides, visually showing the relationship between the circumcenter and the circle. ② Core mathematical concepts include the circumcenter, circumcircle, properties of perpendicular bisectors, and the relationship between central and inscribed angles. ③ Construction steps: Use the Segment tool to draw the triangle's sides, apply LineBisector to each side to create perpendicular bisectors, use Intersect to find their common point (the circumcenter), then use Circle with the circumcenter as center and the distance to any vertex as radius to draw the circumcircle, and finally use Angle to mark relevant angles. ④ Suitable for middle and high school students learning plane geometry, circle properties, and geometric constructions, as well as for teachers demonstrating the dynamic position of the circumcenter relative to different triangle types.