document.write( "Question 419460: Find the measures of the angles in a triangle if the ratio of the measures of the three angles is 13:16:21.\r
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document.write( "Thanks this is my last question of the day. :] \n" );
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Algebra.Com's Answer #293334 by duckness73(47)![]() ![]() You can put this solution on YOUR website! In a case where you have ratios, you add the ratios together to get the total number of \"units\". In this case, 13 + 16 + 21 = 50 \"units\". Your first angle (13 \"units\") represents (13/50) of the total degrees in a triangle (which is 180). So, the first angle is (13/50) * 180 = 46.8 degrees. Your second angle (16 \"units\") represents (16/50) of the total degrees in a triangle = (16/50) * 180 = 57.6 degrees. Your last angle (21 \"units\") represents (21/50) of the total degrees = (21/50) * 180 = 75.6 degrees.\r \n" ); document.write( "\n" ); document.write( "Let's see if we get the total right:\r \n" ); document.write( "\n" ); document.write( "46.8 + 57.6 + 75.6 = 180 which is the right number of degrees in a triangle.\r \n" ); document.write( "\n" ); document.write( "So, the angles are 46.8 degrees, 57.6 degrees, and 75.6 degrees. \n" ); document.write( " |