document.write( "Question 1170077: A triangle having two sides are equal has a perimeter measuring 40. If the remaining side is less than twice the length of either side. Find the lengths of the 3 sides of the triangle. \n" ); document.write( "
Algebra.Com's Answer #794941 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(1) First, in any isosceles triangle, the base (the third side, in your terminology) \"is less than twice the length of either side\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Without it, such a triangle CAN NOT EXIST.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " So, the cited condition IS NOT specific and DOES NOT specify any isosceles triangle.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " It is simply a necessary condition for EXISTING such a triangle.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(2) Second, with the given condition, the problem HAS NO a unique solution,\r\n" ); document.write( "\r\n" ); document.write( " and the problem's question HAS NO a unique answer.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(3) It is clear that this problem came NOT from any school textbook --- hence, it is created by some \"composer\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(4) DIAGNOSIS: - the posted \"problem\" is a FAKE, and \r\n" ); document.write( "\r\n" ); document.write( " - the person who created it, DOES NOT know Geometry, and\r\n" ); document.write( "\r\n" ); document.write( " - the source from which you recovered this problem, is UNTRUSTED (it is the most polite definition).\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |