document.write( "Question 1144825: One side of a triangle is 8 inches and the other two sides are each equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?
\n" );
document.write( "A)9
\n" );
document.write( "B)10
\n" );
document.write( "C)11
\n" );
document.write( "D)17 \n" );
document.write( "
Algebra.Com's Answer #766023 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "We have one side as 8. By the triangular inequality, the other two sides must\r\n" ); document.write( "have a larger sum than 8. So the smallest their sum can be is 9. So the smallest\r\n" ); document.write( "possible perimeter is 8+9=17.\r\n" ); document.write( "\r\n" ); document.write( "There are four possible triangles with that perimeter and positive whole numbers\r\n" ); document.write( "for sides. They are:\r\n" ); document.write( "\r\n" ); document.write( "1,8,8 (an isosceles triangle)\r\n" ); document.write( "2,7,8\r\n" ); document.write( "3,6,8\r\n" ); document.write( "4,5,8\r\n" ); document.write( "\r\n" ); document.write( "In each case the perimeter is 17.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |