document.write( "Question 1123083: In the diagram below, O is the centre of the circle and OS is perpendicular to the chord RT \r
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document.write( "Prove the theorem that states that RS=ST \n" );
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Algebra.Com's Answer #739306 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The triangle ORT is an isosceles triangle, having the lateral sides OR and RT congruent (since they are the radii of the circle). \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The segment OS is the height in the triangle ORT drawn to its base.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In an isosceles triangle the altitude drawn to the base is the median in the same time.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, RS = ST.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Proved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See the lesson\r \n" ); document.write( "\n" ); document.write( " - An altitude a median and an angle bisector in the isosceles triangle\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |