tag:blogger.com,1999:blog-4479690110975267663.post8896699460554259460..comments2021-11-11T11:13:51.007-08:00Comments on Albany Area Math Circle: Pentablocks and beautiful geometric puzzlesMary O'Keeffehttp://www.blogger.com/profile/14662977706706048151noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-4479690110975267663.post-49231921713522471482009-08-19T06:40:08.018-07:002009-08-19T06:40:08.018-07:00Here are three puzzles for our middle school stude...Here are three puzzles for our middle school students (I did not check the literature to see whether these puzzles have appeared in the past - last question was inspired while reading Euclid's Elements)<br />1) Divide a triangle into two triangles of equal area (using compass and straight edge).<br />2) Divide a triangle into two triangles of areas p/q and 1-p/q (assuming that the original area of the triangle is 1).<br />3) Divide a triangle into two triangles whose ratio of areas is a golden ratio.mskmoorthyhttps://www.blogger.com/profile/04521212767155230436noreply@blogger.com