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# How can hexagons be used to explain the Pythagorean Theorem? (Please don't try to explain what the theory is.)

Question #114199. Asked by naveen_213. (Apr 19 10 4:48 PM)

SiegeTank55

A regular hexagon can be split up bisecting the polygon and making triangles. This will make a 30,60,90 triangle which fits with the Theorem and the sides.
Source -common knowledge

 Apr 19 10, 7:15 PM
looney_tunes

If you draw lines through the centre of a regular hexagon so that every vertex is connected to the centre, as is the midpoint of each side, you will form 12 triangles with angles of 30 degrees in the centre, 60 degrees at each vertex, and 90 degrees at each midpoint. Measurements on the sides will verify that they fit the Pythagorean pattern, but measurement is not the same as theoretical proof.

this is a chapter from a text about Pythagoras. 30-60-90 triangles are discussed starting on page 475.

http://www.keypress.com/documents/ALookInside/DiscoveringGeometry/DG_TE_Ch09.pdf

 Apr 20 10, 4:27 AM

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