Constructing An Equilateral Triangle With Compass
This animation demonstrates the classical ruler-and-compass method for constructing an equilateral triangle with 5 cm sides. It shows drawing segment AB, setting the compass to 5 cm, and swinging arcs from A and B that intersect at point C, then joining AC and BC to complete the triangle. The step-by-step, textbook-style visuals clarify why equal radii guarantee equal sides, making it useful for geometry students learning basic compass constructions and proof reasoning.
16:9 · every frame verified for overlaps, spacing and edges before rendering
The prompt that made it
Create a precise educational mathematics geometry animation showing how to construct an equilateral triangle with each side 5 cm using only a ruler, pencil and compass. Start with a clean white drawing sheet. Show a ruler being used to draw a straight line segment AB exactly 5 cm long. Clearly label the endpoints A and B and show “AB = 5 cm”. Next, place the compass needle exactly on point A, set the compass opening to exactly 5 cm using the ruler, and draw a clean semicircular arc centered at A. Then place the compass needle exactly on point B without changing the compass width, and draw another arc intersecting the first arc at point C. Clearly mark the intersection point as C. Finally, use the ruler and pencil to draw straight lines AC and BC, completing the equilateral triangle ABC. The final triangle must have AB = BC = CA = 5 cm. Show the construction step-by-step with smooth realistic hand movements. Keep the geometry mathematically accurate, clean textbook-style presentation, white background, dark pencil lines, clear labels, no extra text, no distortion, no incorrect measurements, no unnecessary objects, educational classroom animation, fixed camera, high resolution.
Make the next one in this series
- Show how to construct a perpendicular bisector using the same compass and ruler method
- Demonstrate constructing a square with equal sides using compass and straightedge
- Explain why equal compass radii from A and B guarantee an equilateral triangle
