document.write( "Question 634644: How many diagonals and triangles can be drawn far a polygon having 17 congruent sides? \n" ); document.write( "
Algebra.Com's Answer #399780 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Suppose the polygon is ABCDEFGHIJKLMNOPQ\r\n" ); document.write( "\r\n" ); document.write( "Then each choice of 2 letters represents either a side or a diagonal.\r\n" ); document.write( "\r\n" ); document.write( "So there are C(17,2) sides and diagonals altogether.\r\n" ); document.write( "\r\n" ); document.write( "There are 17 sides, AB, BC, CD, ..., PQ so the number of diagonals is\r\n" ); document.write( "17 less than C(17,2).\r\n" ); document.write( "\r\n" ); document.write( "Answer: C(17,2) - 17 = 136 - 17 = 119 diagonals.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |