document.write( "Question 491281: The smallest angle of a scalene triangle is 2/3rd the size of the middle angle, and the middle angle is 3/7th of the largest angle. Find measure of the largest angle. \n" ); document.write( "
Algebra.Com's Answer #334580 by cleomenius(959)![]() ![]() You can put this solution on YOUR website! There may be a less awkward way to do this, but this method does work.\r \n" ); document.write( "\n" ); document.write( "Smallest = 2/3 * 3/7 = 6/ 21 of largest \n" ); document.write( "Middle = 9/21 0f largest \n" ); document.write( "largest = 21/21 \n" ); document.write( "6 + 9 + 21 = 36 parts total. \n" ); document.write( "============================================= \n" ); document.write( "6/36 = x/180 = 30 degrees. \n" ); document.write( "9/36 = x/180 = 45 degrees. \n" ); document.write( "21/36 = x/180 = 105 degrees. \n" ); document.write( "================================================ \n" ); document.write( "To check. \n" ); document.write( "45 degrees * 2/3 is 30 degrees. \n" ); document.write( "105 degrees * 3/7 is 45 degrees. \n" ); document.write( "This does check. \n" ); document.write( "Cleomenius.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |