Rectangle → 4 Equal-Area Triangles

Connect the center to all 4 corners. Every triangle always gets exactly ¼ of the total area — even though the shapes differ.

Width (w) 300

Height (h) 180

Total area: 54,000 u²

Triangle Areas

Top

—

Bottom

—

Left

—

Right

—

✓ All areas always equal

Proof

// Center point: (w/2, h/2)
A_top = ½ · w · (h/2) = wh/4
A_bot = ½ · w · (h/2) = wh/4
A_left = ½ · h · (w/2) = wh/4
A_right = ½ · h · (w/2) = wh/4
// Sum = wh ✓ (full rectangle)

Shape Difference

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