document.write( "Question 1097155: If the external angle of a triangle are in ratio 4:5:6, find the ratio of the triangle \n" ); document.write( "
Algebra.Com's Answer #711557 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! The sum of the exterior angles = 360 \n" ); document.write( "Let A = the smallest exterior angle \n" ); document.write( "Then the other two angles are 5/4A and 6/4A \n" ); document.write( "Find A: \n" ); document.write( "A + 5/4A + 6/4A = 360 \n" ); document.write( "15/4A = 360 \n" ); document.write( "A = 96 \n" ); document.write( "The interior angles are, therefore, 180 - 96, 180 - (5/4)96, and 180 - (6/4)96 \n" ); document.write( "Interior angles: a = 84, b = 60, c = 36 \n" ); document.write( "So the ratio of the triangle is 60/84 = 5/7, 60/36 = 5/3, or 3:5:7 \n" ); document.write( " |