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From: Loyd

To: Teacher2Teacher Public Discussion
Date: 2002022419:06:07
Subject: Re: Pythagorean's Property

You can use the Pythagorean Property to show that it applies to squares and circles as well as triangles. for example, the area of a 3 inch circle and a 4 inch circle will have the same area as a 5 inch circle. A 3 inch water pipe and a 4 inch water pipe will exactly fill a 5 inch water pipe where all three are equal length. You can make mobiles to hang from the ceiling that are based upon the subject property also. For example, you can hang a three inch circle and a 4 inch circle equal distant from a point and hang a 5 inch circle the same distance from the point and the mobile will be balanced. If it is warm, you can take the students outside, using lime for making lines, and demonstrate how to make a large rectangle the size of a house and using the property to make a corner exactly 90 degrees. If you don't want to use the familiar 3,4 5 or 6, 8, 10 triangle, you can use some of the following. a b c 6612 115 6613 1624 57 1625 760 39 761 420 29 421 264 23 265 180 19 181 1196 147 1205 920 129 929 1435 228 1453 525 92 533 476 93 485 357 76 365 1209 280 1241 1600 399 1649 1380 371 1429 1080 329 1129 391 120 409 176 57 185 35 12 37 140 51 149 352 135 377 925 372 997 2301 980 2501 520 231 569 77 36 85 80 39 89 589 300 661 15 8 17 72 65 97 460 429 629 924 893 1285 697 696 985 Check out the last one, it is almost a perfect square.

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