# Cut Equilateral Triangles into Rectangles & Dudeney's Puzzle

A quadrilateral can be dissected into a rectangle by a line joining the mid-points of one pair of opposite sides, and the perpendiculars to this line from the mid-points of the other pair of opposite sides (see https://www.geogebra.org/student/m3459 ).
In this applet, the equilateral triangle is dissected into 4 pieces by the 3 lines.
Rotate the dissections, drag the red points to get a rectangle.

**CLICK**any black**SEGMENT**to show/hide its**LENGTH**. Drag Q to investigate its position at which the rectangle becomes a square (the Dudeney's Puzzle).Anthony Or. GeoGebra Institute of Hong Kong.

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