Constructing Right Triangles: From Circle and Intersections

① This example demonstrates how to construct a right triangle using a circle, points, intersections, and segments, with the right angle clearly marked. ② Core mathematical concepts include the definition of right triangles, the theorem that an angle inscribed in a semicircle is a right angle, basic geometric construction steps, and angle measurement. ③ Construction highlights: based on the summary, commands such as Circle, Point, Intersect, Segment, and Angle are used, involving objects A, c, C, d, e, B, f, g, h, D, i, j, α. The process starts by drawing a circle, placing points, connecting them with segments, finding intersections, and finally forming a right triangle with the right angle labeled. ④ Suitable for middle school geometry lessons, introductory geometric construction practice, and for understanding the relationship between circles and triangles, as well as using dynamic geometry software tools.