言葉なしのピタゴラスの定理の視覚的証明
You do not need dense symbolic algebra to understand why a² + b² = c² is always true. When you move identical puzzle pieces inside a fixed square frame, the leftover empty space stays constant. Need fast numerical side lengths or angle values instead? Try our Pythagoras equation solver right away.
Bhaskara & Rearrangement Area Slider
Slide between 0% and 100%: because none of the 4 colored triangles change size, the remaining white/highlighted space in both configurations has equal area (a² + b² = c²).
わかりやすい幾何学：スライダーが a² + b² = c² を示す理由
The Outer Box Never Changes Size
Imagine a wooden tray whose width and height equal leg a plus leg b. Inside that tray sit four identical right-angled triangle tiles—never stretched, trimmed, or duplicated as you drag the slider.
c² Has Identical Area to a² + b²
At 100%, the four triangles frame one tilted center square of side c (area c²). Sliding them to 0% merges two pairs of triangles into neat rectangles—leaving behind two upright empty squares of areas a² and b². Same tray minus same four tiles means equal leftover area: a² + b² = c².
Astronomer-mathematician Bhaskara II presented a compact diagram packing four congruent right triangles around the perimeter of a square of side c, leaving an inner center square of side (b - a), and simply wrote a single word beneath the drawing: "Behold!" — trusting visual area conservation to speak louder than pages of symbols.