All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Rectangle to Square (Posted on 2013-08-13)

A rectangle ABCD is to be cut into three pieces
(with two straight line cuts) and the pieces re-
arranged into a square.

Define the endpoints of the cuts.

Note 1: |AB|/4 ≤ |BC| < |AB|.

Note 2: A straight line cut (as the name implies)
is a cut along a straight line that
divides a piece into two pieces.

 Submitted by Bractals No Rating Solution: (Hide) Ady's link shows how to construct a line segment having length s such that s2 = |AB||BC|. First cut ABCD along AE ( E on side CD such that |DE| = s ). Second cut ABCE along FG ( F on side AB such that |BF| = s ) and G on side AE ( such that FG || BC ). Slide ΔADE ( side AE along side GE until A coincides with G ). Move ΔAFG into ΔECE.

 Subject Author Date re(3): Full solution Daniel 2013-08-16 14:50:13 re(2): Full solution Bractals 2013-08-16 13:47:57 re: Full solution Daniel 2013-08-16 10:34:57 re(2): Full solution Jer 2013-08-15 18:05:40 re: Full solution Daniel 2013-08-15 17:10:36 Full solution Jer 2013-08-15 13:12:13 re: full solution - spoiler; not really Larry 2013-08-14 08:28:45 full solution - spoiler Ady TZIDON 2013-08-14 02:00:45 One way Jer 2013-08-13 14:47:52

 Search: Search body:
Forums (0)