🌾 Farmer Pythagoras's Land Division

Cut the two smaller square plots into pieces and fit them perfectly into the large square plot!

a = 3 unitsb = 4 unitsc = 5 unitsa² + b² = c²
SOURCE PLOTS← Drag the pieces to the target →c² = 25 sq units (TARGET)Fit all pieces herea = 3b = 4c = 5a²=9b²=160/5 pieces placed
🔑 Key Insight: The two smaller square plots (a²=9 and b²=16) are cut into 5 pieces total. When you rearrange these pieces, they exactly fill the large square (c²=25). This is Perigal's dissection proof that a² + b² = c² for any right-angled triangle!