document.write( "Question 697430: A triangle has sides of length 7, 10 and 11. What is the perimeter of the triangle formed by joining the midpoints of these sides? \n" ); document.write( "
Algebra.Com's Answer #429977 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Hint: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Each midsegment is exactly half of the side opposite (and parallel) to it. In other words, if the original triangle (in blue) creates a smaller triangle (in red) formed by the midsegments, then each red segment is half of the blue segment that it's opposite.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "OR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Each blue segment opposite its corresponding red segment is exactly double in length.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So if the red segments are x, y and z units, then the opposite (and parallel sides) in blue are 2x, 2y and 2z units shown below\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() |