document.write( "Question 1062306: I have three questions to ask. Both are inter-related I think.
\n" );
document.write( "1. Will three altitudes determine a triangle? Why?
\n" );
document.write( "2. Will three medians determine a triangle? Why?
\n" );
document.write( "3. How can I draw a triangles when only three altitudes are given? I already found how I can draw it using medians.
\n" );
document.write( "I want a concrete proof for both of them. Sorry for my english if there are any mistakes. I'm not a native english speaker. \n" );
document.write( "
Algebra.Com's Answer #677192 by ikleyn(53765) You can put this solution on YOUR website! . \n" ); document.write( "Regarding your questions #1 and #3, see these links\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.cut-the-knot.org/triangle/tr3.shtml\r \n" ); document.write( "\n" ); document.write( "https://answers.yahoo.com/question/index?qid=20110520005044AAQiQMO \r \n" ); document.write( "\n" ); document.write( "See also the book \"The secrets of Triangles\" by Posamentier and Lehmann, 2012, ISBN 978-1-61614-587-3, Example 14, p. 238.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regarding your question #2, see this link\r \n" ); document.write( "\n" ); document.write( "http://www.qc.edu.hk/math/Junior%20Secondary/Median.htm \r \n" ); document.write( "\n" ); document.write( "and also the same book, Example 17, p. 247.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can search for this book in your local library.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r \n" ); document.write( "\n" ); document.write( " - GEOMETRY - YOUR ONLINE TEXTBOOK\r \n" ); document.write( "\n" ); document.write( "in this site. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this online textbook, there are lessons on basic construction procedures in Geometry under these topics:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Geometric constructions using a compass and a ruler. Basic operations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Geometric constructions related to parallel lines\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Geometric constructions related to circles \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |