Pythagorean Theorem With Squares
A right triangle with sides 3, 4, and 5 is built step by step, with squares drawn on each side to show their areas as 9, 16, and 25. The animation visually merges the two smaller squares to match the largest, demonstrating why a squared plus b squared equals c squared. Clear labeling and smooth transitions make the geometric proof easy to follow. Useful for algebra students learning right triangle relationships and visual proofs.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Create a vertical 9:16 educational animation for a YouTube Short explaining the Pythagorean theorem. Scene 1: Show a right triangle appearing on a clean dark mathematical background. Clearly mark the 90° angle. Scene 2: Label the three sides: a = 3 b = 4 c = 5 Make the two shorter sides a and b, and the longest side c (the hypotenuse). Scene 3: Draw a square on each side of the triangle. The squares should have areas: 3² = 9 4² = 16 5² = 25 Animate the smaller two squares visually combining to demonstrate: 9 + 16 = 25 Scene 4: Show the main formula clearly and prominently: a² + b² = c² Then substitute the numbers: 3² + 4² = 5² 9 + 16 = 25 Scene 5: Zoom out and show the complete right triangle with the three squares around it. Make the relationship visually clear and satisfying. Scene 6: End with the words: PYTHAGOREAN THEOREM a² + b² = c² Style: modern mathematical animation, clean 2D graphics, smooth transitions, elegant motion, visually engaging for students, high quality, Audience: Algebra students
Make the next one in this series
- Show how the Pythagorean theorem works with different right triangle side lengths, like 5-12-13.
- Animate a real-world use of the Pythagorean theorem, such as finding a ladder's height against a wall.
- Create an animation proving the Pythagorean theorem using triangle rearrangement inside a square.
