Box & Space Diagonal
A is the origin. B, C, E lie along the three perpendicular edges. D is the opposite corner of the box.
Edges: a (green), b (orange), c (blue).
Space diagonal: d (pink).
a = –,
b = –,
c = –,
d = –
a² = –,
b² = –,
c² = –,
d² = –
a² + b² + c² = –
Hints
• Drag point D: the box resizes, keeping right angles at A.
• Faces are shaded: three edge-squares and the square on the space diagonal.
• Watch how a² + b² + c² matches d² as you move D.
